A class contains 8 boys and 4 girls. In how many ways can the teacher choose a committee of 4?

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: You must select 3 individuals from a group of 5 for a conference. How many teams of 3 might you…

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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: 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: a) there is no restriction on their profession. b) there should be same number of doctor and nurses…

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

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Q: Mary wants to organize a party with only 10 people. In how many ways can she choose those 10 people…

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Q: At a dinner party, 6 men and 6 women sit in a round table. In how many ways can they sit if Bob,…

A: Number of ways to arrange N person around the round table is (N-1)!. Here, there are 6 men and 6…

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: How many ways can you choose seven people from a group of twenty?

A: Solution: Combinations: Suppose there are n objects and r objects to be chosen. Then, combination…

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: Lenny has 5 friends in his neighborhood. In how many ways can he choose 3 to help him move…

A: Lennh has friends = 5 Number of friend to be chosen = 3

Q: How many ways can a team of 28 hockey players choose a captain and two alternate captains?

A: Given that, There are 28 players in a hockey team.

Q: A group of 9 women and 6 men must select a 4-person committee. How many committees are possible if…

A: The group contains 9 women and 6 men. A 4-person committee is selected. a) The number of ways to…

Q: In a class with 10 boys and 8 girls, 5 girls and 4 boys will be chosen. how many ways can the…

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Q: In how many ways can you sit 8 people on a round table if Grace and Joey, who are members of the…

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Q: There are 7 women and 8 men in a department. How many ways can a committee of 4 people be selected?

A: The objective of this question is to find out the number of ways a committee of 4 people can be…

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

A: We use various combination to find out  the number of ways we can select a committee.

Q: There are seven boys and five girls in the debate squad at Franklin High School. In how many ways…

A: Given: Number of boys = 7 Number of girls = 5 Number of members selected = 4 Number of boys required…

Q: There are 11 girls and 11 boys in a class. A committee of seven is selected for a project. How many…

A: Here, there are 11 girls and 11 boys in a class, seven is selected for a project and there are…

Q: A fun fair requires 3 employees to sell tickets. There are 9 people available. How many ways could a…

A: There are total 9 people.  Among them, we want to pick a group of 3 people. Since it is a group, so…

Q: From a group of 17 smokers and 23 ​nonsmokers a researcher wants to randomly select 6 smokers…

A: We have to find no. Of ways to select people.

Q: A bakery has 12 different fancy cakes. In how many ways can 6 of the 12 fancy cakes be lined up in a…

A: We have to use permutation m

Q: in how many ways can three classmates oliean, kagan, kelvin , and jet arrange themselves seated in a…

A: To find in how many ways can three classmates oliean, kagan, kelvin , and jet arrange themselves…