A committee of 3 persons is to be constituted from a group of 2 men and 3 women. In how many ways can this be done? How many of these committees would consist of 1 man and 2 women?

Explanation

Number of ways for a committee
of 3 people from 2 men and 3 women

`=>2_(C_0)**3_(C_3)+2_(C_1)**3_(C_2)+2_(C_2)**3_(C_1)`

`=>1+6+3`

`=>10`


Number of committees of 1 man 2 women

`=>2_(C_1)**3_(C_2)`

...