A club with 17 members must choose a president, a vice president, a treasurer, and a secretary. How many ways can this be done if no one may hold more than one office?

Q: A committee has 20 people.  In how many ways can a President, Vice-President, and Secretary be…

A: Note:  Permutation: We kno that, nPr represents the selection an ordered set of ‘r’ objects from a…

Q: There are 22 students in a fraternity. In how many ways can a committee of 6 students be selected?…

A: Given that Number of students=22 Number of students selected=6

Q: there are 11 members on a board of directors. if they must form a subcommittee of 6 members, how…

A: we use the formula nCr = n!/(n-r)! * r!

Q: There are 13 members on a board of directors. If they must form a subcommittee of 6 ​members, how…

A: The objective of this question is to find out the number of different subcommittees that can be…

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

A: given data, a company has 10 members on its boards of directorsselect a president, vice-precident,…

Q: In the United States Senate, each state is represented by one junior senator and one senior senator.…

A: From the given information. The total number of states in the Midwest is 12. Each state is…

Q: From the 10 male and 9 female sales representatives for an insurance​ company, a team of 2 men and 3…

A: GivenNo.of males=10No.of females=9Total no.of peoples=19

Q: Three research department have 8,6,and 10 members , 4 respectively. Each department is to select a…

A: Three research department have 8,6, and 10 members, respectively.

Q: A New club at Arvin High has 22 members. In how many ways can the club elect a president and Vice…

A: The number of members in the club is 22. The number of ways of electing a president is C122=22.…

Q: A company has 42 employees. How many different ways can 7 people be chosen to serve on a committee…

A: We can choose the 7 persons in 42C7 ways  Where 7 people are chosen then there are (42-7)=35 people…

Q: A club has 35 members, 8 of whom are Civil Engineers. In how many ways can a committee of 4 be…

A:

Q: A committee of students and teachers is being formed to study the issue of how much they all love…

A: Given: 16 teachers and 35 students Total = 51 members  At least 2 teachers and at least 2 students…

Q: there are 11 members on a board of directors. if they must form a subcommittee of 6 members, how…

A: we use the probability for selections formula, nCr = n!/(n-r)! * r!

Q: A club with 28 members is to select five officers (president, vice president, secretary, treasurer,…

A: Total members=28

Q: A Computer class comprises 8 male students and 6 female students. Find the number n of ways that the…

A:

Q: Colin has 9 cd’s in his carrying case – two John Tesh, three Michael Jackson, and four Beatles. How…

A: Given: Number of cds = 9 Number of John Tesh cds = 2 Number of Michael Jackson = 3 Number of Beatles…

Q: A club with 23 members must choose a president, a vice president, a treasurer, and a secretary. How…

A: n=23r=4

Q: In the United States Senate, each state is represented by one junior senator and one senior senator.…

A: It was stated that United States Senate, each state is represented by one junior senator and one…

Q: A club with 25 members is selecting a committee of 6 people. In how many ways can this be done?

A: *concept:- use defination of Combination.

Q: Your class of 15 students has assigned a group project. You must break up into three groups of five…

A: Formula:   If there are n objects. If there are k1 of type 1, k2 of type 2 and so on km of type m…

Q: A club of 8 people wants to choose an executive board consisting of president, secretary, treasurer,…

A: The problem can be solved using the concept of permutation and combination.

Q: There are 10 board members on the Community Arts Council. In how many ways can a president and…

A:

Q: A town is forming a committee to investigate ways to improve public safety in the town. The…

A:

Q: committee of 7 must be chosen to decide on a new school uniform. There are 9 adults and 14 students…

A: Given : There are 9 adults and 14 students who wish to be on the committee. 9 A 14 S Total people =…

Q: A large research project is looking for more researchers. There are 8 spots open on the research…

A:

Q: Faculty at a certain university need to create a committee to evaluate the general studies…

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Q: A school club has 25 members and needs to elect four officers: a president, vice-president,…

A: We have given that Total members (n) = 25 Position to be filled (r) = 4 Here we will use the concept…

Q: Leadership positions for a college social club are up for election. Three people are needed to fill…

A: Since three people are needed to fill the positions of president, vice president, and secretary…

Q: A House committee has 9 members, consisting of 5 Republicans and 4 Democrats. An of 3 members is…

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Q: The president of the college asked a fraternity to submit a list of 7 students to serve as guides at…

A: