There are 8 men and 10 women and you need to form a committee of 5 men and 6 women. In how many ways can the committee be formed?

Q: How many ways can a 4 member committee be selected from a club with 15 members? If the club's 15…

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

Q: A group of 9 biologists, 9 chemists, and 8 physicists want to form a committee of 6 that will…

A: It is given that Biologists = 9Chemists = 9Physicists = 8Total number of members = 26

Q: You want to go visit 3 of the 8 teachers you had last year. How many different ways can you visit…

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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: How many different committees can be formed from 10 teachers and 30 students if the committee…

A: From the provided information, the total number of teachers = 10The total number of students = 30

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 family wants to adopt 2 cats and 3 dogs from a shelter that has 12 cats and 15 dogs. in how many…

A: The number of ways of selecting 2 cats from 12 cats is,

Q: Sixteen people decide to play softball. In how many ways can the 16 people be divided into 2 teams…

A: There is total 16 people decide to play softball.

Q: A ice cream store offers 7 ice cream flavors and 12 toppings. If you want to eat 3 different ice…

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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: You have 8 DVDs to place on a shelf, but you only have room for 6 of them. How many different ways…

A: Given,no.of DVDs=8no.of rooms=6

Q: You are going to a benefit dinner, and need to decide before the dinner what you want for salad,…

A: The objective of this question is to find out the total number of different meals that can be made…

Q: How many different committees can be formed from 7 teachers and 40 students if the committee…

A: Solution-: Given: Number of teachers =7, Number of students =40 We want to find how many different…

Q: There are 8 members on a board of directors. If they must form a subcommittee of 6 members, how many…

A: Given,   There are 8 members on a board of directors. If they must form a subcommittee of 6 members.

Q: Pizza is available with three kinds of cheese and four toppings. How many different ways can you…

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Q: There are 12 flavors of ice cream, 5 toppings, and 3 types of cones to choose from at a local ice…

A: Introduction: If r distinct items are to be chosen from n items without replacement so that the…

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: We are at altitude and they have a dunk contest. 7 people participate. How many ways can those 7…

A: Given in the question that we have total 7 participants and we have to find in how many ways can…

Q: There are 14 male employees and 9 female employees at a shoe store.  The store manager wants to form…

A: Since he is picking as a team so we will use the combination method because arrangement does not…

Q: Twelve students have volunteered to help clean up an oil spill. The project director needs 3 bird…

A: Twelve students have volunteered to help clean up a small oil spill. The project director needs 3…

Q: There are 15 people eligible to receive 4 different awards.  The awards are in the amounts of $50,…

A: Given: There are 15 people eligible to receive 4 different awards. The awards are in the amounts of…

Q: At the flower shop, Maggie is making a bouquet from asters, dahlias, irises, roses and…

A: Maggie needs to form a bouquet consisting of 9 flowers, taking flowers out of 5 given types of…

Q: How many different committees can be formed from 8 teachers and 41 students if the committee…

A: It is needed to find the ways of forming different committees from 8 teachers and 41 students if the…

Q: A club with 25 members is selecting a committee of 6 people. In how many ways can this be done?

A: *concept:- use defination of Combination.

Q: There are 20 members of the debate team, including 9 girls and 11 boys. Complete parts (a) through…

A: Given 20 members=9 girls and 11 boys  r!=r(r-1)(r-2)x...x3x2x1

Q: The class includes 15 male and 20 female students. We need to assign 5 students per group for senior…

A: The objective of this question is to find out the number of ways to divide a class of 35 students…

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: A party room has a circular table with 12 seats. A group of 4 people enter the room. How many…

A: In a circular table with n seats,  there are (n-1)! ways ofoccupying the seats

Q: Twelve people need to be photographed, but there are only five chairs. (the rest of the people will…

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Q: A person owns three suits, three ties and ten shirts. How many ways can They select a traveling…

A: A person owns three suits, three ties and ten shirts. To find the number is ways of selection of two…

Q: How many committees can be formed from 12 men and 12 women if the committee must consist of 3 men…

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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