How many ways can 2 men, 2 women and 2 children be selected from 6 men, 4 women and 3 children

Answer 1

There are 6men, 4 women and 3 children.

2 men, 2 women and 2 childrens are selected.

Number of ways 2 men are selected from 6 men is .

Number of ways 2 women are selected from 4 women is .

Number of ways 2 childrens are selected from 3 children is .

Therefore number of ways of selecting 2 men, 2 women and 2 childrens fom 6men, 4 women and 3 children is

* *

= 15 * 6 * 3

= 270

Therefore there are 270 ways in selecting 2 men, 2 women and 2 childrens fom 6men, 4 women and 3 children.