Choose Wisely! 1. In how many ways can 8 members of Board of Directors be chosen from 5 juniors and 7 seniors if there must be 5 seniors in the board? 2. After the 8 members are chosen, in how many ways can they elect among themselves the top 4 positions (president, vice president, secretary, and treasurer)?

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: 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: In an online game tournament, there are 7 male and 6 famale players who are qualified to join the…

A: Combination formula :  The number of ways to select x subject from total n subject is given by,  Cxn…

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: 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: How many ways are there to pick a five-person basketball team from 12 possible players? How many…

A:

Q: How many different ways can the golf pro at a golf club select a foursome consisting of 1 man and 3…

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

Q: From among 11 people you must choose a President, a Vice President, a Secretary, and a Treasurer.…

A: Given Information: There are 11 people out which a President, a Vice President, a Secretary, and a…

Q: How many different committees of 3 people can be chosen from a group of 8 people?

A: Total number of people in the group are 8. Total number of people for the committee is 3.

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: How many ways can a delegation of 55 Republicans, 55 Democrats, and 22 Independents be selected from…

A: Given data Number of Republicans = 77 Number of Democrats = 77 Number of Independent = 33

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

A:

Q: How many ways can 4 officers be elected from 12 candidates?

A: From the provided information, There are 12 candidates from which 4 officers will be elected.

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 17 students in the club. How many ways can a committee of at most 3 students be chosen

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

A:

Q: 5 freshmen, 6 sophomores, 5 juniors, and 6 seniors are eligible to be on a committee. In how many…

A:

Q: A small company of 30 employees needs to choose 6 people to plan out their annual holiday party Each…

A: A small company of 30 employees needs to choose 6 people to plan out their annual holiday party.

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

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Q: How many ways to choose 4 out of the 10 candidates to be sent to a conference?

A: Combination Rule: The arrangement of r objects from n different objects is given by:

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

A: