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Permutation under Restriction

Out of 6 boys...

Question

Out of 6 boys and 6 girls, a group of 8 is to be formed. In how many ways can this be done if the group should have 4 boys?

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Solution

Since , we have to select 4 boys remaining 4 can be girls

4 boys and 4 girls can be selected = $^{6} C_{4} \times^{6} C_{4} = 225$

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