11. There are 8 women and 10 men in the math department. (a) How many ways can a committee of 4 people be selected? (b) How many ways can a committee of 4 people be selected if there must be 2 men and 2 women on the committee? (c) How many ways can a math department committee of 4 people be selected if there must be at least 2 men on the committee?

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A: Given that there are 15 members. In 15 members, 8 are men and 7 are women.

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: 7. A student club has twenty members: 6 seniors, 4 juniors, 5 sophomores, and 5 freshmen. (a) In how…

A: Hi! Thank you for the question. As per the honor code, we are allowed to answer three sub-parts at a…

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

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Q: How many ways can 2 students be selected from a group of 5 students if order matters?

A: Solution-: We find number of ways 2 students be selected from a group of 5 students if order…

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Q: How many ways can a delegation of 4 Republicans, 4 Democrats, and 2 Independents be selected from a…

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Q: Answers must be in 4 decimals 1.At a breakfast buffet, 93 people chose coffee only and 47 people…

A: Solution According to guidelines we solve only first question

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A: (a) From the given information, the club with 7 male and 11 female members. And 4-member committee…

Q: are possible? (a) How many different delegations The 4 delegates can be selected different ways. (b)…

A: Solution: The total number of delegates to be chosen is 4. The number of available resources to…

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A: As per guideline expert have to answer first question only dear student please upload other question…

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A: Given,   Number of males = 8 Number of females = 11   The objective is to find how many different…

Q: The math club has seven members and will choose a team of three to send to a competition. The…

A: Given that the math club has 7 members and will choose a team of 3 to send to a competition.  The…

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Q: How many ways can a delegation of 5 Republicans, 5 Democrats, and 2 Independents be selected from a…

A: As we need to choose any 5 republicans from a group of 7 republicans, so we have 7C5 possible ways.

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Q: This year, there are ten freshmen, seven sophomores, ten juniors, and eight seniors are eligible to…

A: Followings are the Explanation of the question  Number of ways to select k items from n, nCk= n!/(k!…

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A: Such prolems can be solved by using permutation .formula used in permutation is:-Prn=n!(n-r)!where…

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A: Given that Jar A contains 4 red marbles and 6 blue marbles. Jar B contains 8 red marbels and 2 blue…

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Q: In how many ways can three committees of 8 persons be formed from 44 persons if the chosen persons…

A: The number of ways to select  r different objects from n different objects, can be given as, Crn…

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A: Given Suppose we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D.

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…

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Q: How many ways can a committee of 3 people be selected from a club that has 16 members?

A: The objective of this question is to find out the number of ways a committee of 3 people can be…

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A: Given there are 9 teachers and 30 students.  We have to find that how many different committees can…

Q: How many ways can a delegation of 2 Republicans, 2 Democrats, and 2 Independents be selected from a…

A: Given dataRepublicans = 4Democrats = 4Independent = 3

Q: 1. You just won 4 tickets to a concert, but you have 8 friends who would like to go with you. How…

A: Since you have asked multiple questions in a single request we would be answering only the first…