Out of 5 class representatives and 7 prefects, a committee consisting of 2 class representatives and 3 prefects is to be formed. In how many ways can this be done if, (a) (9) any class representative and any prefect can be included (b) one particular prefect must be in the committee (c) two particular class representatives cannot be in the committee.

Q: To prepare for a safe grad, a committee of 6 people must be formed from a group of 5 teachers and 6…

A: To determine the number of ways the committee can be formed.

Q: From a group of 9 men and 11 women, a committee consisting of 2 men and 2 women is to be formed. How…

A: Men=9Women=11Choose for a committee 2 men and 2 women

Q: How many ways can a store manager arrange a group of 1 team leader and 3 team workers from his 25…

A: We have given that, from 25 employees we have to select 1 team leader and 3 team workers. First we…

Q: A legislative committee consists of 8 Democrats and 10 Republicans. A delegation of 4 is to be…

A:

Q: How many ways are there to choose a committee of 4 members, 2 men and 2 women, from 5 fraternal…

A:

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

A:

Q: A committee of 5 students is to be chosen from 6 boys and 5 girls 1. How many different 5-member…

A:

Q: a. In how many ways can 3 civil engineers and 2 mechanical engineers be chosen from the applicants?…

A: Here use combination An Engineers Association has a couple of vacant positions and there are a total…

Q: Suppose that a department contains 10 men and 15 women. How many ways are there to form a committee…

A:

Q: A committee of 5 members has to be formed from 8 boys and 12 girls. Find the number of ways to form…

A:

Q: How many different committees can be formed from 7 teachers and 40 students if the committee…

A: Solution-: Given: Number of teachers =7, Number of students =40 We want to find how many different…

Q: A committee is to be formed consisting of 4 men and 5 women. If the committee members are to be…

A: Answer  Given  A committee is to be formed consisting of 4 men and 5 women. If the committee members…

Q: The mathematics department at WCC has 19 full-time faculty members; 10 female faculty members and 9…

A: Given that Full time faculty member=19 10 female faculty members and 9 male faculty member

Q: Suppose that there are 9 female and 12 male students in a classroom. How many different 5-member…

A: According to the provided information, number of female students = 9 number of male students = 12…

Q: Suppose that there are 9 female and 12 male students in a classroom. How many different 5-member…

A: Combination:   A combination is a selection of objects where order is not important.   If n is…

Q: There are 7 boys and 3 girls in a class. The classroom teacher will form a 2-member cleaning…

A: There are  7 Boys : 7 B 3 Girls : 3 G   The classroom teacher will form a 2-member cleaning…

Q: A committee of 5 consisting of 3 girls and 2 boys is to be chosen from a class with 15 girls and 10…

A: Given: Total Number of Girls=15Total Number of Boys=10Commitee required 5 candidate in whichNumber…

Q: In how many ways can a subcommittee of eight be chosen from a Senate committee of seven Democrats…

A: We have to find In how many ways can a subcommittee of eight be chosen from a Senate committee of…

Q: Suppose that a department contains 9 women and 15 men. How many ways are there to form a committee…

A: Given:Total women = 9Total men = 15Total committee members required = 7Condition: The committee must…

Q: How may different committees of 3 students( 2 male and 1 female) can be formed from a group of 6…

A: We have to find no of different committee..

Q: the chairperson who must select a subcommittee but assume that the committee consists of 11 people…

A: There are total 11 people including the chairperson. 1 chairperson is to be selected at first. The…

Q: Suppose there are 5 men and 8 women qualified to be members of a new committee of 6 people,…

A: a) Since each position is distinct, so for this problem order matters. There are total (5+8)=13…

Q: How many committees of 4 can be made from a group of 20 republicans and 15 democrats if at least 1…

A: Since we need at least 1 republican and at least 1 democrat in the committee. So we pick 1 of each…

Q: If the chair of a math department has to appoint a committee of 4 professors from among the 10…

A:

Q: A public health unit's "Board of Health' consists of 8 citizen representatives and 9 elected…

A: Total number of citizens representatives = 8  Number of citizens that need to be chosen = 3   Number…