How many arrangements of the letters in the word SOCIOLOGICAL begin and end with the same letter?
Answers
There are approximately 10,159,040 different arrangements of the letters in the word "SOCIOLOGICAL" that begin and end with the same letter.
To determine the number of arrangements of the letters in the word "SOCIOLOGICAL" that begin and end with the same letter, we need to consider the different cases based on the repeated letters in the word.
The word "SOCIOLOGICAL" has 12 letters in total. There are three repeated letters: O appears twice, and L appears twice. The other letters are unique.
Let's consider the cases where the first and last letters are 'O.' In this scenario, we have fixed the first and last positions, and we need to arrange the remaining 10 letters (excluding the two 'O's). We can do this in 10! (10 factorial) ways.
Now, let's consider the cases where the first and last letters are 'L.' Similar to the previous case, we have fixed the first and last positions, and we need to arrange the remaining 10 letters (excluding the two 'L's). We can do this in 10! ways.
However, we need to be careful since we have counted arrangements where both 'O's are at the beginning and the end, as well as arrangements where both 'L's are at the beginning and the end. To avoid duplication, we need to subtract the cases where both 'O's or both 'L's are at the beginning and the end.
When both 'O's are at the beginning and the end, we have fixed three positions: the first, the last, and one of the 'O's. We need to arrange the remaining nine letters (excluding the other 'O' and the two 'L's), which can be done in 9! ways.
Similarly, when both 'L's are at the beginning and the end, we have fixed three positions: the first, the last, and one of the 'L's. We need to arrange the remaining nine letters (excluding the other 'L' and the two 'O's), which can be done in 9! ways.
Thus, to find the total number of arrangements that begin and end with the same letter, we sum up the arrangements from cases 2, and 3, subtract the arrangements from cases 5, and 6, and add back the duplicated arrangements from case 4:
Total arrangements = (10!) + (10!) - (9!) - (9!) + (9!)
Calculating this expression, we find:
Total arrangements = 3 × (10!) - 2 × (9!)
Evaluating the factorial expressions:
Total arrangements = 3 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 - 2 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
Total arrangements = 3 × 10! - 2 × 9!
Simplifying the expression:
Total arrangements = (3 × 10 × 9!) - (2 × 9!)
Total arrangements = (30 - 2) × 9!
Total arrangements = 28 × 9!
Calculating the value of 9! (9 factorial):
9! = 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
9! = 362,880
Finally, we find the total arrangements:
Total arrangements = 28 × 362,880
Total arrangements ≈ 10,159,040
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Related Questions
what role does the school play in affecting the aspirations and academic success of the hallway hangers?
Answers
The school's role in influencing the aspirations and academic achievement of hallway hangers is that it devalues the students' cultural capital, which impacts their academic outcomes.
The school plays a significant role in shaping the aspirations and academic success of its students, including those who are referred to as "Hallway Hangers." These students often come from marginalized communities and have a different cultural background than the dominant culture in the school. When the school does not value or recognize the cultural capital of these students, it can have a negative impact on their academic outcomes.
This can manifest in a number of ways, such as a lack of engagement in class, lower grades, and a lack of motivation to succeed academically. Ultimately, it is important for schools to recognize and value the cultural backgrounds and experiences of all students in order to support their academic success and aspirations.
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four advantages of entrepreneurship
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Top Five Advantages of Being an Entrepreneur
Advantage #1: A flexible schedule – both in terms of when and where you work. ...
Advantage #3: It's exciting and fulfilling. ...
Advantage #4: The salary makes sense. ...
Disadvantage #1: You wear a lot of hats. ...
Disadvantage #2: You are always at work.
Answer:
*Entrepreneurship creates self employment in the society*It helps in the optimum utilization of available means and resources*The employment opportunities increase in the country*The personal economy is promoted and becomes strongerwhy did great britian pass the navigation acts?
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Answer:
The Navigation Acts (1651, 1660) were acts of Parliament intended to promote the self-sufficiency of the British Empire by restricting colonial trade to England and decreasing dependence on foreign imported goods.
Have a good day
Answer: i think restricting colenial trade to england
Explanation:
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Answer:
D- all of the above
Explanation:
Although present earlier to some degree, the feudal system in Japan was really established from the beginning of the Kamakura Period in the late 12th century CE when shoguns or military dictators replaced the emperor and imperial court as the country's main source of government.
The shoguns of medieval Japan were military dictators who ruled the country via a feudal system where a vassal's military service and loyalty was given in return for a lord's patronage
Answer:
can't read
Explanation:
dixon engages in counterproductive workplace behavior. he likely is low in __________ and __________.
Answers
Dixon engages in counterproductive workplace behavior, indicating that he is likely low in certain personality traits or factors.
Counterproductive workplace behavior refers to actions or behaviors exhibited by employees that undermine the goals, effectiveness, or well-being of the organization or its members. When someone engages in such behavior, it can be indicative of specific personality traits or factors.
One possible trait that Dixon may be low in is conscientiousness. Conscientiousness is characterized by being organized, responsible, and dependable. Individuals who score low on conscientiousness may exhibit behaviors such as being careless, irresponsible, or lacking discipline, which can contribute to counterproductive workplace behavior.
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which bc/dr activity works on the assumption that the most critical processes are brought back from a remote location first, followed by the less critical functions?
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The BC/DR activity that works on the assumption that the most critical processes are brought back from a remote location first, followed by the less critical functions, is known as prioritization. This activity involves identifying and ranking the criticality of business processes, systems, and applications, and then restoring them in a specific order based on their importance.
By prioritizing the recovery of critical functions, organizations can minimize downtime and ensure that essential operations are up and running as quickly as possible.
The BC/DR activity that follows this approach is called "prioritized recovery." In prioritized recovery, critical business processes are identified and ranked based on their importance to the organization.
The most critical processes are restored first at a remote location, followed by the less critical functions, ensuring that the most essential services are up and running as quickly as possible during a disaster recovery scenario.
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the result of the calculation of likelihood of threat event (attack) occurrence multiplied by impact (or consequence), plus or minus an element of uncertainty is known as _____.
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The result of the calculation of likelihood of threat event (attack) occurrence multiplied by impact (or consequence), plus or minus an element of uncertainty is known as risk assessment factors.
Risk is the probability of a vulnerability occurring multiplied by the value of the information asset, minus the proportion of risk that can be mitigated by existing controls and the uncertainty of the vulnerability's current knowledge. The process of determining the relative risks associated with each organization's vulnerability is known as risk assessment.
After assigning a risk score or rating to each data resource, risk evaluation can be used to determine the overall risks associated with each data resource.
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What does "right" really mean? How do you know when something is truly right or wrong? Explain and document your reasoning using scholarly and peer reviewed journal articles and/or texts. Must include references.
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The concept of "right" is subjective and multifaceted, encompassing moral, ethical, and cultural dimensions. Determining whether something is truly right or wrong is a complex process influenced by various factors such as personal values, societal norms, and philosophical perspectives.
The notion of what is considered "right" or "wrong" varies across individuals and cultures. It involves ethical considerations, moral principles, and social norms that guide human behavior. In the realm of ethics, scholars have proposed different theories to understand the nature of right and wrong actions.
One prominent ethical framework is consequentialism, which argues that the morality of an action is determined by its outcomes or consequences. Utilitarianism, a consequentialist theory, asserts that an action is morally right if it maximizes overall happiness or utility for the greatest number of people.
On the other hand, deontological ethics emphasizes the intrinsic nature of certain actions rather than their consequences. According to this perspective, an action can be considered right or wrong based on its adherence to moral duties or principles. Immanuel Kant's categorical imperative is an example of a deontological approach, suggesting that an action is morally right if it can be universally applied without contradiction.
Moreover, cultural relativism recognizes that moral standards can vary across different societies, and what is considered morally right in one culture may be viewed differently in another. This cultural context plays a significant role in shaping our understanding of right and wrong.
In conclusion, the concept of "right" is multifaceted and encompasses moral, ethical, and cultural dimensions. Determining whether something is truly right or wrong requires a thoughtful examination of various ethical theories, personal values, and societal norms. It is an ongoing philosophical inquiry that acknowledges the complexity and subjectivity inherent in moral decision-making.
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I need help my assignment does not give me enough information to answer. These factors limit the potential of Siberia's resources. Select all that apply.
A. terrain
B. climate
C. inferior quality
D. chernozem
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Answer:
terrian and climate
Explanation:
forgive me if i'm wrong i just woke up and i am not fully awake
If you think baseball is boring and reluctantly agree to join your friend at the ballpark, chances are good you will be ready to go by the seventh inning stretch, even though it has been a high-scoring game. This is an example of:
Answers
Answer:
Confirmation bias
Explanation:
This reflects confirmation bias. It can be described as having the tendency to process information that is already in line with what someone already believes in. Processing information to agree with ones belief.
The person already sees the game as boring and no matter how good the game may have been, it doesn't change what he thinks of the game.
Since resources are abundant, we do not have to make choices about their use.
a. True
b. False
Answers
The given statement about "Since resources are abundant, we do not have to make choices about their use." is false (B), not only must we make choices for ourselves as individuals, but we must also make decisions for the society in which we live.
Even though resources may be abundant, we still have to make choices about their use. This is because resources are not unlimited and there are always trade-offs involved in using them. For example, if we use an abundant resource like water for irrigation, we may have less available for drinking or other purposes. Therefore, it is important to make informed choices about how to use resources in order to maximize their benefits and minimize their negative impacts.
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How were healing and justice being addressed during reconstruction?
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The goal of Reconstruction was to restore the Union, alter southern society, and implement progressive legislation that favored the rights of formerly enslaved people.
This is further explained below.
What is Reconstruction?Generally, During the time of Reconstruction, the definition of U.S. citizenship was revised, and the number of people eligible to vote was increased.
Additionally, the relationship between the federal government and the governments of the states was altered, and the distinctions between political and economic democracy were brought to light.
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How did the Dred Scott decision move the country closer to civil war?
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Answer:
How did the Dred Scott decision contribute to the American Civil War? The U.S. Supreme Court ruled in the Dred Scott decision that Congress had exceeded its authority in the Missouri Compromise because it had no power to forbid or abolish slavery in the territories west of Missouri and north of latitude 36°30′.
Explanation:
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In 1821, Mexico granted independence, which included present-day Texas.
How to explain the information1823: Stephen F. Austin led 300 American families to Texas. The Americans expected to become Mexican citizens and agreed to certain conditions, such as no slavery.
1833: Stephen F. Austin went to Mexico City but was thrown in jail.
1835-1836: Texas experienced attacks during this period.
May 14, 1836: Santa Anna, the Mexican president, recognized Texan independence.
Tejano People: Spanish-speaking settlers in Texas who supported the Texas Revolution and independence. They hoped for more control over their affairs and fought alongside Houston's troops against Mexico. However, after Texas won independence, Tejanos found themselves excluded from the new Texas government. The Americans who moved to Texas did not differentiate between Tejanos and Mexicans.
Annexation: Most Texan-Americans wanted Texas to be annexed by the United States. They feared being recaptured by the Mexican government and desired to become a state that would allow slavery.
Andrew Jackson: During this period, Andrew Jackson was the President of the United States. However, he did not take action on the annexation of Texas as he didn't want to deal with the potential political controversy arising from adding more slave states to the Union.
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match the following. 1 . psychological a type of test that reveals inner feelings 2 . specialized monograph a type of monograph that focuses on one aspect of culture 3 . life history list of marriages, births, deaths, and so on 4 . census one person's view of his culture 5 . general monograph a type of chart that shows relationships among people 6 . kinship a type of monograph that presents all aspects of a culture
Answers
A specialized monograph is a type of monograph that focuses on one specific aspect or topic within a broader field or discipline. It delves deep into a particular subject, providing detailed and comprehensive information, analysis, and research on that specific area. It is often written by experts or scholars who have extensive knowledge and expertise in the chosen topic.
Specialized monographs are valuable resources for researchers, academics, and professionals who require in-depth and specialized information on a specific subject. They contribute to the advancement of knowledge and understanding within a particular field by providing detailed insights, theories, methodologies, and empirical evidence related to the specific topic of study.
Examples of specialized monographs can be found in various academic disciplines. For instance, in the field of biology, there may be specialized monographs focusing on specific species or ecological niches. In history, there can be specialized monographs exploring particular time periods, events, or historical figures. In anthropology, there may be specialized monographs studying specific cultural practices, rituals, or social phenomena.
Overall, specialized monographs play a crucial role in advancing knowledge and providing in-depth analysis within specific areas of study, allowing for a deeper understanding and exploration of specialized topics.
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Which two of the following outcomes is consistent with cognitive dissonance theory?a. Jarod devalues higher education b. Jarod applies for scholarships he is sure he will not get c. Jarod wonders if he could cut his budget enough to afford it d. Jarod gives up and orders a beer
Answers
A. Jarod devalues higher education, D. Jarod gives up and orders a beer are the two of the following outcomes that are consistent with cognitive dissonance theory.
Cognitive dissonance is just the perception of conflicting information and the mental toll it causes in the field of psychology. A person's actions, thoughts, ideas, beliefs, moral standards, and objects that surround them are all examples of relevant information.
When people engage in an action that contradicts any of those things, they typically experience cognitive dissonance as psychological stress. Even before two actions or suggestions are not mentally and emotionally consistent between them, people will do everything in their ability to alter them until they are more compatible.
The discomfort is caused by the strong religious clashing of new information perceived, and the individual attempts to resolve the incongruence in order to reduce their discomfort.
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.choose all the calm-water shoreline and offshore environments where silt and clay tend to accumulate.
A) Rocky shorelines and deep offshore environments.
B) Calm-water shorelines and offshore environments
Answers
Silt and clay tend to accumulate in calm-water shorelines and offshore environments due to reduced water movement and limited sediment transport mechanisms.
How do silt and clay accumulate in calm-water shorelines and offshore environments?Silt and clay tend to accumulate in calm-water shoreline and offshore environments. Let's explore the reasons why:
1. Calm-water shorelines: In areas with minimal wave action or currents, such as sheltered bays, lagoons, or estuaries, the water movement is relatively slow. This allows fine sediment particles like silt and clay to settle and accumulate on the seabed. The lack of strong wave action or currents prevents these particles from being easily transported away, leading to their accumulation over time.
2. Offshore environments: In deeper offshore regions, particularly those with low energy conditions, sediments like silt and clay can settle and accumulate. These areas are often far from the influence of strong currents or wave action, allowing the fine particles to settle and build up on the seafloor. The accumulation of silt and clay in offshore environments can create layers of sediment that gradually accumulate over long periods.
It's worth noting that other factors, such as water chemistry, grain size distribution, and the availability of sediment sources, can also influence the accumulation of silt and clay in these environments. Additionally, the presence of vegetation or other biological factors can further enhance sedimentation in calm-water shorelines and offshore regions by trapping and stabilizing the fine particles.
Overall, calm-water shorelines and offshore environments provide conditions conducive to the accumulation of silt and clay due to the reduced water movement and limited transport mechanisms for fine sediment particles.
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describe the effects of the Civil War on the north and south?
Answers
Answer:
for the south their economy was ruined the north was burning their crops and freeing slaves.
For the north their was no real effect except the death of Abraham Lincoln
Explanation:
Four-month-old Kaitlyn reaches for a toy. She grabs it by closing her fingers against her palm. Kaitlyn is using
Answers
What was the purpose of a pharaoh’s marriage? Choose three correct answers.
to unite people
to find true love
to please the gods
to form alliances
to expand territory
Answers
Answer:
To Please The Gods,
To Expand Territory
And To Form Alliances (
(A,D,E)
Explanation:
"Marriages in Egyptian royal house were celebrated with as a great ceremony. Pharaoh often, of course for political reasons, married several womens, or foreign princesses. During the marriage ceremony, husband and wife offered gifts to the gods . They also exchange gifts between each other and brides father."
- sited from shorthistory.org
Answer:
to unite people
to form alliances
to expand territory
or a, d, e
Explanation:
i got it right on ed
Rather than get mad at her roommate for spending too much time in the bathroom, Anita decided to come up with some ideas she could talk with her about, so each of them could get into the bathroom when they needed to. Anita's conflict management style would be described as _____.
Answers
Answer:
cooperative conflict management style
Explanation:
In simple words, A cooperative dispute resolution result corresponds with the benefit-based or interdisciplinary negotiating mechanism which encourages groups to try win-win conclusions . Disputing parties work collaboratively to find a compromise are much more able to ensure a confidence bond and keep coming up with equally agreeable settlement solutions.
what are two examples of loss that are common to many people?
Answers
Answer:
death and money
People lose money in the markets because they let emotions—mainly fear and greed—drive their investing.
4,679,452.00 deaths per month
Major producers of cotton include all of the following countries except __________. a. brazil b. china c. india d. the usa
Answers
Every option you have provided are pretty large cotton producers throughout the world. However, Brazil is in fifth place. I believe if you had to choose one, your answer would be A) Brazil. I hope this helps!
Explanation:
The ten largest cotton producers in the world are:
India - 6,188,000 tons.
China - 6,178,318 tons.
United States - 3,593,000 tons.
Pakistan - 2,374,481 tons.
Brazil - 1,412,227 tons.
Major producers of cotton include the China, India, and USA except the Brazil.
What countries engaged in the cotton production?The ten largest cotton producers in the world include the India, that produces the cotton is about the 6,188,000 tons then China, that produced the cotton is about 6,178,318 tons.
The United States produces about 3,593,000 tons, Pakistan produces about 2,374,481 tons of cottons. The Brazil also produces the cotton, but by the lesser amount in comparison to the another cities.
Therefore, option a is correct.
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Would Sunni Muslims have supported Abu Bakr as caliph?
A)Yes, because they believed succession wasn't linked to ancestry.
B)Yes, because he was one of Muhammad's first converts.
C)No, because he was not a direct descendent of Muhammad.
D)No, because he was not canale
Answers
Other than being a trade good, how were cedar trees most useful to the Phoenicians?
OA. They were used to make ships and buildings.
OB. They formed a natural barrier against enemies.
OC. They were used in giant fires for religious events.
OD. They gave Phoenicia a fertile soil for farming.
Answers
Answer:
A. They were used to make ships and buildings.
Explanation:
Other than trading, these cedar trees were used to make boats, temples and houses.
Answer:
A. They were used to make ships and buildings.
Explanation:
The cedars of Lebanon were perhaps the most important resource to the Phoenicians. Cedar timber could be traded with other civilizations, but the Phoenicians also used it for making buildings and ships. The availability of this timber allowed the Phoenicians to become expert shipbuilders, which was necessary for their large amount of sea trade.
sam is unhappy with her government. she feels that she pays too much in taxes. she wants to share her opinion with her representative, so she writes a letter. which first amendment freedoms give her the right to do this?
Answers
Answer:
freedom of speech and freedom of petition
Congress shall make no law respecting an establishment of religion, or prohibiting the free exercise thereof; or abridging the freedom of speech, or of the press; or the right of the people peaceably to assemble, and to petition the Government for a redress of grievances.
Risk behaviour on society
Answers
Answer:
What are some examples of risk behaviors?
Common risky behaviour
unprotected sexual activity.
sexting and other risky uses of social media.
tobacco smoking, alcohol use and binge-drinking.
illegal substance use.
dangerous driving.
illegal activities like trespassing or vandalism.
fighting.
truancy.
Explanation:
How to keep risk-taking teenagers safe
Knowing that teenagers test limits doesn’t make risky behaviour any easier to live with. Here are some ideas to help your child think about consequences and stay safer.
Talking about behaviour and consequences
Talking about behaviour and consequences can help your child learn to work out how much risk is involved in different situations. But be careful it doesn’t come across as a lecture because this could encourage your child to rebel. For example, you might say, ‘There are going to be times when it’s really hard to say no to drugs. But you know how bad they are for your health and other parts of your life. I really hope you can stay strong’.
Working out agreed rules
If you work with your child on rules and consequences for breaking them, your child is more likely to follow the rules. You’ll need to be flexible and adapt the rules as your child grows and shows he’s ready for more responsibility.
Talking about values
Knowing what’s important to your family will help your child develop responsibility and personal values. You can back up family values by being a good role model in things like drinking alcohol, driving and treating other people respectfully.
who is the present education minister of nepal ?
Answers
Answer:
Devendra Paudel is the present education minister in Nepal.
What argument is being used when the defendant admits that the event took place, but claims that his or her actions were legally justified
Answers
The argument being used when the defendant admits that the event took place, but claims that his or her actions were legally justified is called the justification defense.
Justification defense is an argument that is used by a defendant to assert that their criminal actions were legally justified. It is a legal defense that states that an individual's otherwise criminal actions are permissible, based on the circumstances and environment of the incident where the offense was committed.The defendant must provide evidence that their conduct was justified, which is their argument. When a defendant uses a justification defense, he or she admits to committing the crime, but they argue that their actions were legally permitted or justified. A defendant using the justification defense does not challenge the facts of the case; instead, they argue that their actions were legally justified under the circumstances.
The justification defense is an umbrella term used for various legal doctrines that permit individuals to take otherwise criminal acts under specific circumstances. The justification defense can be used in cases of self-defense, defense of others, defense of property, necessity, and consent.The defendant's justification defense argument must convince the court that their actions were legal based on the circumstances surrounding the incident. Therefore, the defendant should support their argument with compelling evidence and testify convincingly, and the court will determine the validity of the justification defense argument.
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I need help pls, T or F?
Answers
Answer:
False, true, true, false
Explanation: