Question

From 7 men and 4 women a committee of 6 is to be formed. In how many ways can this be done (i)when the committee contains exactly 2 women, (ii)at least 2 women?

Answer 1

`210` ways

Explanation:

Number of ways 2 women can be chosen from 4 women is:

`color(white)(0)^4C_2=(4!)/(2!*2!)=6`

Number of ways 4 men can be chosen from 7 men is:

`color(white)(0)^7C_4=(7!)/(4!*3!)=35`

Total number of ways to chose committee is:

`35*6=210` ways