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 3 girls ? (iii) atmost 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) atleast 3girls? (iii) atmost 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) exactrly 3 girls? (ii) at least 3 girls (ii) almost 3 girls?

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 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?

From 8 gentlemen and 5 ladies, a committee of 4 is to be formed. In how many ways can this be done. (a) when the committee consists of exactly three gentlemen? (b) when the committee consists of at most three gentlemen?

In a class there are 20 boys and 15 girls. In how many ways can 2 boys and 2 girls be selected?

A committee of 10 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 com the committee contains atleast four of either groups (teachers and students) and atleast 2 girls and atleast 2 boys are in the committee.

A committee of 5 Students is to be chosen from 6 boys and 4 girls. Find the probability that the committee contains exactly 2 girls.

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.