From a group of 5 women and 7 men. (a) how many different committees consisting of 2 women and 3 men can be formed? (b) what if 2 of the men are feuding and refuse to serve on the committee together?

(a). 350

(b). 300

Step-by-step explanation:

We have been given that there is group of 5 women and 7 men.

(a). We are asked to find the number of committees consisting of 2 women and 3 men.

We know that we can choose 2 women from 5 women in ways. We can choose 3 men from 7 men in ways.

So we can choose 2 women and 3 men in ways.

Therefore, 350 committees can be formed consisting of 2 women and 3 men.

(b). We are asked to find the number of committees consisting of 2 women and 3 men, if 2 of the men are feuding and refuse to serve on the committee together.

To solve this problem, we need to find number of committees consisting two men from 5 members and subtract it from total number.

Therefore, 300 committees can be formed consisting of 2 women and 3 men, if 2 of the men are feuding and refuse to serve on the committee together.

rectangle that is ther answer you

step-by-step explanation:

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