How many groups of 6 persons can be formed from 8 men and

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How many groups of 6 persons can be formed from 8 men and 7 women ?

1. 5000
2. 5005
3. 5050
4. None of these

Correct Option: B

Total no . of person = 8 + 7 = 15
No. of groups = ¹⁵C₆ = 15! / {6! (15 - 6)!} = 15! / (6! 9!)
= (15 x 14 x 13 x 12 x 11 x 10) / (6 x 5 x 4 x 3 x 2 x 1)
= 5005