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

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

A . 5000

B . 5005

C . 5050

D . None of these

**Answer : **B . 5005

## Explanation:

Total number of person = 8 men + 7 women = 15

No. of groups can be formed of 6 persons = ^{15}C_{6}

= 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