The I Eta Pi fraternity must choose a delegation of 3 senior members and 2 junior members for an annual interfraternity conference. If I Eta Pi has 6 senior members and 5 junior members, how many different delegations are possible?

Of the 12 members of a high school drama club, 8 are seniors. The club plans to establish an 8 - member committee to interview potential club members. If exactly 6 members of the committee must be seniors, how many committees are possible ?

At a school picnic, 1 junior and 1 senior will be selected to lead the activities. If there are 125 juniors and 100 seniors at the picnic, how many different 2 person combinations of 1 junior and 1 senior are possible?

A local card club will send 3 representatives to the national conference. If the the local club has 8 members, how many different groups of representatives could the club send?

A delegation of 6 members is to be sent abroad out of 12 members. In how many ways can the selection be made so that , a particular member is included?

A delegation of 6 members is to be sent abroad out of 12 members. In how many ways can the selection be made so that , A particular member is excluded?

A delegation of 6 members is to be sent abroad out of 12 members. In how many ways can the selection be made so that , a particular member is included?

A delegation of 6 members is to be sent abroad out of 12 members. In how many ways can the selection be made so that , A particular member is excluded?

A Mathematics club has 15 members. In that 8 are girls. 6 of the members are to be selected for a competition and half of them should be girls. How many ways of these selections are possible?

In how many ways 5 members forming a committee out of 10 be selected so that 2 particular members must not be included.