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: 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: 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 lady has 4 dresses and she want to leave 2 of them behind and bring the rest with her on the trip.…

A: The objective of this question is to find out the number of ways the lady can choose 2 dresses out…

Q: How many ways can 3 teachers and 4 veterinarians be seated on a bench with the teachers seated…

A: The total number of ways in which n different items can be arranged, is given by n! where n! can be…

Q: There are 8 nickels, 5 dimes, 7 quarters, and 6 loonies in a piggy bank. You are thinking of…

A: Given, in a piggy bank, there are  8 nickels, 5 dimes, 7 quarters, and 6 loonies.

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

A:

Q: In a class there are 30 female students and 20 male students. A committee of four students need to…

A: There are 30 female and 20 male students.

Q: There are 10 boys and 6 giris. How many ways are there of forming a group of either 3 boys or…

A: We have given that  There are 10 boys and 6 girls. Total number of girls and boys = 16   Combination…

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: There are 5 grade 12s, 4 grade 11s, 3 grade 10s, 2 grade 9s. How many ways can a president, vice…

A: Solution

Q: A basket ball team has 5 guards, 7 forwards, and 3 centers.  How many ways are there to have a…

A: A basket ball team has 5 guards, 7 forwards, and 3 centers. How many ways are there to have a lineup…

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

A:

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 4 men and 5 women in a room. The leader wants a participation from a group of 2 men and 2…

A:

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: Ten children are to be divided into an A team and a B team of 5 each. A team will play in one league…

A: Given Information:   The total number of children, n=10 The number of children divided into the two…

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: A department consists of 5 men and 7 women. From this department you select a committee with 3 men…

A: From the provided information, A department consists of 5 men and 7 women. We select a committee…

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: How many committees are possible if the committee must have a least two men?

A: Concept:   The number of ways of achieving success that is the total number of possible outcomes is…

Q: Suppose you have 4 friends - Pedro, Juan, Emilio, and McArthur who got to the ice cream shop after a…

A: Introduction:  Given: There are 4 friends - Pedro, Juan, Emilio, and McArthur who got to the ice…

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: There are 5 boys and 5 girls at a party. In how many ways can they be seated in a row if they must…

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: There are 7 boys and 3 girls in a class. How many different ways can the classroom teacher create a…

A: From the given information,   Number of boys = 7 Number of girls = 3   Total = 10

Q: Seven women and nine men are on the faculty in the mathematics department at a school. How many ways…

A: Given : In a Mathematics department of school ; No. of women = 7 No. of men = 9 Sample size (n) = 6…