Question

a camp assigns a group of 3 counselors to each activity center. the camp has 3 regular counselors and 4 junior counselors. If EACH GROUP CONSISTS OF 1 REGULAR AND 2 JUNIOR COUNSELORS, how many different groups are possible?

i think its 36? is that right?

Answer 1

There are 3 ways of picking the senior counselor and 4!/(2!*2!) = 6 ways of picking the two junior counselors out of 4 (The order that they are picked does not matter).
3 x 6 = 18