Question

In group of 6 boys and 4 girls, 4 children are to be selected.In how many different ways can they be selected such that at least one boy should be there

Answer 1

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Answer 2

Answer:

209

Step-by-step explanation:

4 children should be selected out of 6 boys and 4 girls and atleast 1 boy should be taken

the combinations are

1 boy & 3 girls

2boys & 2 girls

3 boys & 1 girl

4 boys & 0 girl

so,(6c1 *4c3) + (6c2 * 4c2) + (6c3 * 4c1) + (6c4 * 4c0)

=>(6 *4) +(15 *6) + (20 *4) + (15*1)

=>24 + 90 + 80 +15

=>209