A committee consists of 5 students 3 girls and 2 boys. If the team is to be formed out of 7 boys and 5 girls, then how many ways this selection can be made?

C(5,7) x C(2,3)

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C(7,2) x C(5,3)

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C(7,5) x C(3,2)

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C(7,3) x C(5,2)

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Solution

The correct option is B
C(7,2) x C(5,3)

Since we need to select 2 boys out of 7

And 3 girls out of 5

So. The total no.of ways in which selection can be made = C(7,2) x C(5,3)

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A group consists of 4 girls and 7 boys. in how many ways a team of 5 members be selected consisting of 2 girls and 3 boys.

A committee of 7 has to be formed from 9 boys and 4 girls. In how many ways can this be done when the committee consists of:

(i) exactly 3 girls? (ii) atleast 3 girls?

(iii) atmost 3 girls?

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