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

Find the number of ways of selecting 6 members out of 12 members always including a specified member.

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

Find the number of ways of selecting 7 members from a contingent of 10 soldiers

Find the number of ways of forming a committee of 5 members out of 7 Indians and 5 Americans so that always Indians will be 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 women will be in a majority

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 forming a committee of 4 members out of 6 boys and 4 girls such that there is atleast one girl in the committee.

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 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.