Suppose that a department contains 9 women and 15 men. How many ways are there to form a committee with 7 members if it must have more women than men?

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: 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: In how many ways could a committee be formed that included 3 Conservatives, 3 Liberals, 2 NDP and 1…

A: Number of conservatives = 14 Number of Liberals = 23 Number of NDP = 8 Number of independent members…

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: ssume that 8 women and 6 men work in a department at a large company. How many ways can a…

A: Combination formula : The number of ways to select r subject from n is determined by using following…

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: Suppose there is a club of 15 people. In how many ways can a committee of 3 people be selected?

A: Our objective is to find the number of way

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: A senate committee has 15 members.  If a subcommittee of 6 senators is to be formed from the…

A:

Q: In how many ways can a committee of three men and two women from eight men and six women

A: given data  make committee of 3 men and 2 womens from 8 mens and 6 womens.

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

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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: The computer science department has 7 members; the mathematics department has 6 members. We need to…

A: We use combination for selection

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 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: How many different committees can be formed from 7 teachers and 39 students if In how many ways can…

A:

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

A:

Q: How many committees of six can be formed from 17 Republicans and 14 Democrats if three members of…

A: Given : 17 Republicans and 14 Democrats

Q: there are 5 faculty, 4 students, and 3 office staff eligible to serve on a 6 person committee. how…

A: At most 1 means 0 or 1 faculty member If there are 0 faculty members then we have to select 6…

Q: How many different committees can be formed from 11 teachers and 42 students if In how many ways can…

A:

Q: A group of five people would like to select two people among themselves and send them to a…

A: It is given that n=5 and r=2.

Q: A three-person committee must be formed from a group of 3 men and 3 women. It has been decided that…

A: 2 women and 1 man: We can pick 2 women from 3 women in 3C2 ways. We can pick 1 man from 3 men in 3C1…

Q: A committee of 6 people, with two of the six to be designated chair and vice-chair, is to be…

A: Number of ways of selecting 6 people of committee  from the group of 20 people will be:

Q: How many different committees can be formed from 7 teachers and 49 students if the committee…

A: From the provided information, There are 7 teachers and 49 students and the committee consists of 2…

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: In how many ways can the committee of 7 members be selected? How many different committees can be…

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Q: The intention is to form a committee consisting of 5 persons from BIM, a group of engineers and…

A: There are 10 engineers and 4 technicians. Thus, total number of individuals in the population is, n…

Q: The principal wants to have a teacher committee on non-semestering. There are 11 secondary teacher…

A: Determine the number of ways that the principal can form a committee of 5 if there must be at least…

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

A:

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: From the 12 male and 10 female sales representatives for an insurance​ company, a team of 4 men and…

A: GivenNo.of Male sales representative=12No.of female sales representative = 10No.of male…

Q: A club has 13 women and 7 men. They decided that at leats two women should represent them on the…

A: