Give a quick stream of consciousness before answering the following question. Six students are equally divided into 3 groups, then, the three groups were assigned to three different topics. How many different arrangements are possible?\nOptions:\n(A) 30\n(B) 60\n(C) 90\n(D) 180\n(E) 540
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Ways of selecting group = 6C2 * 4C2 * 2C2 / 3! = 15\nThree groups can select three subjects in 6 ways\nTherefore total combinations = 15*6 = 90
The answer: (C).
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