In how many ways can 6 persons be seated around a table with 6 chairs if two individuals wanted to be seated side by side?

Q: Calculate 5! (five factorial).

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Q: In how many ways can a 4-member studernt council consisting of a president, a vice president, a…

A: given that there are 9 students out of which we have to make a 4-members committee for students…

Q: How many ways can president, vice president, secretary, and treasurer be determined in a club with…

A: 13 members are there.   How many ways can president, vice president, secretary, and treasurer be…

Q: In Connecticut, auto license plates carry 3 digits followed by 3 letters. (Assume the first digit…

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Q: Determine the number of integers between 1 and 10000 that are not divisible by 6, but are divisible…

A: Given, the number of integers between 1 and 10000 To find the integers between 1 and 10000 that are…

Q: Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in…

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Q: Determine how many ways first, second and third place could be awarded in a race with 7 people…

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Q: There are 58 runners in a race. How many ways can the runners finish first, second, and third? There…

A: From the given information, total number of runners = 58. The objective is to find the number of…

Q: There are 6 adult drivers to each teenage driver in a city. If there are 14,976 adult drivers in the…

A: We have to solve the problem as per instructions given in the question.

Q: develop a divisibility test for 48

A: Given that a number 48   To check number is divisible by 2,   The last digit 48 id divisible by 2,…

Q: Use either permutations or combinations but explain why method was used: There are 200 people at a…

A: 30 are between the ages of 40-49 and 20 are between the ages 50-59. So total (30+20)=50 people are…

Q: A graduate class has 13students with A grades and 12 students with B grades. Calculate the number of…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: At many private and some public schools, students are required to wear 12 uniforms. Suppose the boys…

A: There are 2 types of pants: Navy or Khaki  There are 2 types of shirts: short sleeve or long sleeve…

Q: John is one of twelve members of the Math Honor Society at his school.  A delegation of four members…

A: John is one of twelve members of the Math Honor Society at his school.  A delegation of four members…

Q: Of 13 students in a class, 4 will be chosen to go on a field trip. How many different ways can they…

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Q: Find the number of different ways that an instructor can choose 6 students from a class of 29…

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Q: A university is putting together a hiring committee of 6 members for the next university provost.…

A: We have given information,We have formed a committee of  members, and The members who are eligible…

Q: A small country consists of seven states. There are 250 seats in the legislature that need to be…

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Q: Webster’s Method is used to apportion 25 books to 3 local libraries. The standard divisor is 500 and…

A: Given that  Webster’s Method is used to apportion 25 books to 3 local libraries. The standard…

Q: Copiague Middle School has 4 teams (Purple, Green, Red, Blue). There are 14 teachers in the school…

A: Given that Copiague Middle School has 4 teams (Purple, Green, Red, Blue). There are 14 teachers in…

Q: Provide an appropriate response. From 10 names on a ballot, a committee of 4 will be elected to…

A: Given information- We have given that we have 10 names on a ballot. We have to form a committee of 4…

Q: cards are drawn from a standard deck of 5252 playing cards. How many different 44-card hands are…

A: It is given that,  We have a total standard deck of 52 playing cards. We are drawing 4 cards without…

Q: What is Apportionment? - total population divided by total representatives - the things being…

A: from the definition of Apportionment, Apportionment is the problem of dividing up a fixed number of…