Six students are equally divided into 3 groups, then, the three groups were assigned to three different topics. How many different arrangements are possible?
Options:
(A) 30
(B) 60
(C) 90
(D) 180
(E) 540 Hmmm, my stream of consciousness:
Ways of selecting group = 6C2 * 4C2 * 2C2 / 3! = 15
Three groups can select three subjects in 6 ways
Therefore total combinations = 15*6 = 90 So, the answer is (C).