A committee of 5 is to be formed from six ladies and four gentlemen . In how many ways this can be done so that the committee contains
at least two ladies,

A committee of 5 is to be formed from six ladies and four gentlemen . In how many ways this can be done so that the committee contains at most two ladies ?

A committee of 5 is to be formed from six ladies and four gentlemen . In how many ways this can be done so that the committee contains exactly two ladies ,

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.

An executive committee of 6 is to be formed from 4 ladies and 7 gentlemen . In how many ways can this be formed when the committee contains (i) only 2 lady members, (ii) at least 2 lady members ?

A committee of 6 is to be formed from 6 men and 4 women. In how many ways can this be done if the committee contains at least 2 women?

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 at least 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 : at least three girls.

A committee of 6 is to be formed from 6 men and 4 women. In how many ways can this be done if the committee contains 2 women?

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

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