A committee of 6 is to be formed out of 4 boys and 6 girls. In how many ways can it be done so that the girls may not be out numbered?

A committee of 5 members is to be formed out of 4 men ad 5 women. In how many ways this can be done.

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) exactrly 3 girls? (ii) at least 3 girls (ii) almost 3 girls?

A committee of 5 is to be formed out of 6 gents and 4 ladies.In how many ways can be done when each committee may have at the most two ladies?

A committee of 2 boys and 2 girls is to be slected from 4 boys and 3 girls . In how many ways can this be done ?

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) atleast 3girls? (iii) atmost 3 girls?

A committee of 5 is to be formed from 6 boys and 5 girls.The number of ways that committee can be formed so that the committee contains at least one boy and one girl having the majority of boys is

A committee of 11 is to be formed from 8 teachers and 12 students of whom 4 are girls. In how many ways this can be done so that the committee contains at least four of either groups (teachers and students) and at least 2 girls and atleast 2 boys are in the committee.