A committee of 7 has to be formed from 9 boys and 4 girls. In how many ways can this be done when the committee consists of

(i) Exactly 3 girls

(ii) At least 3 girls

(iii) At most 3 girls

A committee of 7 has to be formed from 9 boys and 4 girls. In how many ways can this be done when the committee consists of

(i) Exactly 3 girls

(ii) At least 3 girls

(iii) At most 3 girls

**(i)** A committee consisting of 3 girls and 4 boys can be formed in

ways

=504 ways

**(ii)** A committee having at least 3 girls will consists of

(a) 3 girls 4 boys

(b) 4 girls 3 boys

This can be done in

ways

**(iii)** A committee having at most 3 girls will consist of

a) No girl 7 boys

b) 1 girl, 6 boys

c) 2 girls, 5 boys

d) 3 girls, 4 boys