Question

A committee of 6 people is to be formed from a group of 20 people. the committee needs to have the number of women double that of the number of men. if there are 12 men in the group, in how many ways can this committee be formed?

Answer 1

The committee can be formed in 4620 ways.

Step by step explanation:

There are 4 women and 2 men in each different committee to meet condition "women double of men"

There are 12 men and 8 women in the group of 20 people.

Number of combinations of 2 men chosen from 12 men is 12!/2!10! = 66 ways

Number of combinations of 4 women chosen from 8 women is 8!/4!4! = 70 ways

Number of ways the committee can be formed:

66 x 70 = 4,620 ways

What is combination?

A combination is a mathematical technique for determining the number of potential arrangements in a set of objects where the order of the selection is irrelevant. You can choose the components in any order in combinations. Permutations and combinations are often mistaken.

To learn more about combination visit:

https://brainly.com/question/13387529

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