Suppose an organization elects its officers from a board of trustees. If there are 52 trustees, how many possible ways could the board elect a president, vice-president, secretary, vice secretary, treasurer and a coordinator?

Q: Three research departments have 6, 10, and 9 members, respectively. Each department is to select a…

A: Given 3 research department having members 6, 10 and 9 respectively. We are about to chose a…

Q: Three research departments have 8, 7, and 6 members, respectively. Each department is to select a…

A: For Que 1: The first department has 7 choices for the delegate and then 6 choices for the alternate,…

Q: How many ways can a delegation of 4 Republicans, 3 Democrats, and 3 Independents be selected from a…

A: Given data Number of Republicans = 9 Number of Democrats = 9 Number of Independent = 4

Q: If 5 cards are dealt from a standard deck of cards, how many different ways can three clubs and two…

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Q: In how many ways is it possible to elect a president, a vice-president, a treasurer, and a secretary…

A: Given Data: The total number of members in the club is: n=43 From the given club a president, a…

Q: From a committee of 15, how many ways can we select a President, Vice President, Secretary, and…

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Q: in a conference we have, 15 people with college degree, 20 people who have job, 40 people with no…

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Q: A hospital cafeteria offers a fixed-price lunch consisting of a main course, a dessert, and adrink.…

A: A hospital cafeteria offers a fixed-price lunch consisting of a main course, a dessert, and adrink.…

Q: Suppose that in a certain association, there are 12 elected members of the Board of Directors. In…

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Q: A car can comfortably hold a family of five. If two people among the five can drive, how many…

A: To find: The number of different seating arrangements. Given: The total number of family member in a…

Q: how many ways can those offices be​ filled?

A: Given that: A club has 7 members.

Q: In a friend group of six, how many ways can we arrange them in a line for a photograph?

A: In a friend group of six, we have to arrange them in a line for a photograph.

Q: Three research departments have 8, 7, and 9 members, respectively. Each department is to select a…

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Q: A student is given a reading list of eight books from which he must select two for an outside…

A: A student is given a reading list of eight books from which he must select two for an outside…

Q: Assuming that no one can hold more than one office, how many selections are possible?

A: select a president, vice-president, secretary, and treasurer out of a club with 15 members.  Here…

Q: A corporation must appoint a​ president, chief executive officer​ (CEO), chief operating officer​…

A: Here, we have 15 qualified candidates, out of which using the 4 candidates we have to appoint a…

Q: A student representative group is composed of Adam, Beth, Cathy, David, Erica, Fritz, and Gideon.…

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Q: A family has nine children. If this family has exactly five boys​, how many different birth and…

A: Given,A family has 9 childrens

Q: ee is to consist of 2 freshmen, 3 sophomores, 4 juniors, and 5 seniors. If 6 freshmen, 7 sophomores,…

A: The selection of elements without arrangement can be represented by a combination of elements. We…

Q: A club of 136 members is in the process of choosing a president, a vice presider secretary, and a…

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Q: assume that you have a committee of 8 members, and that you must choose a chairperson, and…

A: Given data: Assume that you have a committee of 8 members, and that you must choose a chairperson,…

Q: A committee must be formed with 3 teachers and 5 students. If there are 8 teachers to choose from,…

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Q: The board of directors of a corporation must select a president, a secretary, and a treasurer. In…

A: Consider the number of members is 18. The number of posts is 3. Then, the total number of ways in…

Q: A company has 10 members on its boards of directors. In how many different ways can they elect a…

A: The total number of board of directors = 10. The officers need to be elected = 4 (President,…

Q: If a club consists of 18 members, how many different arrangements of president, vice- president, and…

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Q: Suppose a class consists of 3 students majoring in Islamic Studies, 4 students majoring in…

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Q: If a board has 5 women and 4 men. How many ways can you form a committee containing 3 members such…

A: Given that a board has 5 women and 4 men. Now we want to form a committee containing 3 members such…

Q: A student committee is to consist of 2 freshmen, 4 sophomores, 3 juniors, and 5 seniors. If 11…

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Q: The board of directors of a corporation must select a president, a secretary, and a treasurer. In…

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Q: 6. From a pool of 10 candidates, a company has to choose a president, vice president and a…

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Q: In a board of directors composed of eighteen people, how many ways can a chief executive officer, a…

A: Given data, No of people=18 No of designations=3 No of ways=?

Q: A class contains 8 boys and 4 girls. In how many ways can the teacher choose a committee of 4?

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Q: a. Determine the number of ways that we can choose committee of 4. b. Determine the number of ways…

A: Solution;  Total nonof students =10  No of men=6. & No of women=4 a): to choose a committee of 4…

Q: If radio station call letters must begin with either K or W and must include either two or three…

A: Multiplication Rule of Counting:If there are p selections for the 1st option, q selection for the…

Q: A president, a treasurer, and a secretary are to be chosen from a committee with 30 members. In how…

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Q: At the first tri-city meeting, there were 5 people from town A, 4 people from town B, and 2 people…

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Q: In a group of 24 people who like rock, country, and classical music, 14 like rock, 17 like…

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Q: A company needs to create three new departments and there are seven managers competing to run these…

A: Determine the number of ways in which can three new leaders be appointed. The number of ways in…

Q: If there are 13 employees in a club, in how many ways can they choose a dishwasher and a bouncer?

A: Given information- We have given that there are 13 employees in a club. They want to choose a…

Q: If a club consists of 12 members, how many different arrangements of president, vice-president, and…

A: Given that  a club consists of 12 members. We have to find the number of different arrangements of…

Q: A committee of ten people must choose a president, a vice president, and a secretary. In how many…

A: Given that, A committee of ten people must choose a president, a vice president, and a secretary.…

Q: A class contains 8 boys and 4 girls. In how many ways can the teacher choose a committee of 5?

A: Given information- We have given that a class contains 8 boys and 4 girls. The teacher has to make a…

Q: If a club consists of 8 members, how many different arrangements of president, vice-president, and…

A: Given that Number of memebers in a club =8 To find number of different arrangements of…

Q: In how many ways can a committee of three men and four women be formed from a group of 12 men and 12…

A: given: Number of men = 12 Number of women = 12 The number of ways of choosing "r" from "n" is…

Q: 2.A developer of a new subdivision offers a prospective home buyer a choice of 4 designs, 3…

A: Permutation is a branch of mathematics which deals with the number of ways in which certain objects…

Q: there are 4 men and 5 women to form a meeting of a man and a women, in how many ways can a committee…

A: Given,no.of men=4no.of women=5

Q: If there are 22 members in a club, how many ways can a President, VP, Secretary, and Treasurer be…

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