Find the number of ways in which a committee of 11 members can be formed out of 6 teachers and 8 students if there are at least 4 teachers in the committee.

Find the number of ways in which a committee of 6 members can be formed out of 4 officers and 8 jawans, if there are at least 2 officer in the committee.

Find the number of ways in which a committee of 6 members can be formed out of 4 officers and 8 jawans, if there are at least 2 officer in the committee.

In how many ways can a committee of 6 members e formed out of 4 teachers and 7 students when (i) one teacher is in the committee? (ii) at least one teacher is in the committee?

In how many ways can a committee of 6 members e formed out of 4 teachers and 7 students when (i) one teacher is in the committee? (ii) at least one teacher is in the committee?

The number of ways in which a committee of 6 members can be formed from 8 gentlemen and 4 ladies so that the committee contains at least 3 ladies is

The number of ways in which a committee of 6 members can be formed from 8 gentlemen and 4 ladies so that the committee contains at least 3 ladies is

Find the number of ways of forming a committee of 5 members from 6 men and 3 ladies.

Find the number of ways of forming a committee of 5 members out of 6 Indians and 5 Americans so that always the Indians will be in majority in the committee.

Find the number of ways of forming a committee of 5 members out of 5 men and 5 women so that in the committee there is atleast one man

Find the number of ways of selecting a committee of 6 members out of 10 members always including a specified member.