A student committee is to consist of 2 freshmen, 4 sophomores, 3 juniors, and 5 seniors. If 11 freshmen, 6 sophomores, 14 juniors, and 9 seniors are eligible to be on the committee, in how many ways can the committee be chosen?

Q: Suppose there are 21 different competitors at a barbeque competition. Judges are going to award 5…

A: Given: 21 different competitors The total award is given = 5

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: 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: 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

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 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: A student organization of 12 wants to select a president, a vice-president, and a treasurer. How…

A: A student organization of 12 wants to select a president, a vice president, and a treasurer.i.e.…

Q: A committee of six people is chosen from eight women and seven men.  How many          different…

A: Solution: From the given information, there are 8 women and 7 men. Here, 6 people are chosen at…

Q: There are 7 women and 8 men in a department.How many ways can this committee be selected if there…

A: To solve this problem, we need to find the number of ways to select a committee of 5 people from the…

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 group of Mathematics faculty at the local college consists of 10 women and 10 men. Five people are…

A: Given  No of men = 10 No of women = 10 We need to select 5 people

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 11 teachers and 42 students if In how many ways can…

A:

Q: In a cohort of 25 graduating students, there are 3 different prizes to be awarded. If no student can…

A:

Q: How many different committees can be formed from 7 women and 8 men if the committee consists of 5…

A: We can select 5 women from 7 women in 7C5=21 ways We can select 4 men from 8 men in 8C4=70 ways

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: law enforcement officers if each committee consists of 6 law enforcement o

A: Given: n = 9 r= 6

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: There is a town party in Pleasantville where 6 families of 3 people each get together. If one…

A: