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In how many w...

Question

In how many ways we can select a committee of 6 persons from 6boys and 3girls ,if at least two boys and at least two girls must be in the committe

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Solution

No of ways to select 2 boys from 6 boys = 6C2

No of ways to select 2 boys from 3 girls = 3C2

Now 4 people got selected so we need to select 2 more persons from 5 people = 5C2

Total no of ways = 6C2 x 3C2 x 5C2 = 15 x 3 x 10 = 450

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