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: 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: there are 6 men and 7 women in the math club. a committee is to be formed consisting of 3 men and 4…

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Q: Assume that 15 exhibits entered the science fair, and that we want to assign 3 prizes: first,…

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

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

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

A: Determine the number of different committees formed with three females and 2 males.   The number of…

Q: How many different committees can be formed from 9 teachers and 33 students if the committee…

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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: 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: How many ways can you pick the cars so not both are the same siz

A: Number of subcompact cars=7 Number of compact cars= 4 Number of midsize cars= 7 Total cars= 18

Q: There are 8 teams in the Metropolitan Division in the NHL's Eastern Conference. How many ways can…

A: Given , Number of teams=8 Number of ways can the team finish first = 8Number of ways can the team…

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 12 teachers and 39 students if the committee…

A: No. of teachers=12no. of students=39committee should consist of 3 teaches and 2 students

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.

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: From the 9 male and 6 female sales representatives for an insurance​ company, a team of 4 men and 3…

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

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Q: A four-person committee is to be selected from an organization’s membership of 12 people.  How many…

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Q: A class has 13 ​students, of which 4 are seniors. How many committees of size 4 can be selected if…

A: Combination of n objects taken r at a time = n!(n-r)!r! where 0≤r≤n.

Q: How many different committees can be formed from 6 teachers and 48 students if the committee…

A: Given,no.of teachers=6no.of students=48

Q: There are 24 students in a math class. How many ways are there to select 3 students for a group…

A: There are 24 students in math class.  We have to find number of ways to select 3 students for group…

Q: A health inspector must visit 3 of 8 restaurants on Monday. In how many ways can she pick the 3…

A: Total number of restaurants is = 8  She has to pick 3 restaurants.  Here the arrangement does not…

Q: Suppose that we have 10 numbered blocks, 2 RED, 3 BLUE, 4 GREEN, and one WHITE.  How many ways can…

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Q: The president of the college asked a fraternity to submit a list of 7 students to serve as guides at…

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

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