MathematicsEasy98×since 2002Q4812The set S = {1, 2, 3, ........., 12} is to be partitioned into three sets A, B, C of equal size. Thus A∪B∪C=S, A∩B=B∩C=A∩C=ϕA \cup B \cup C = S,\,A \cap B = B \cap C = A \cap C = \phiA∪B∪C=S,A∩B=B∩C=A∩C=ϕ. The number of ways to partition S isA12!(4!)3 {{12!} \over {{{(4!)}^3}}}\,\,(4!)312!B12!(4!)4 {{12!} \over {{{(4!)}^4}}}\,\,(4!)412!C12!3! (4!)3{{12!} \over {3!\,\,{{(4!)}^3}}}3!(4!)312!D12!3! (4!)4{{12!} \over {3!\,\,{{(4!)}^4}}}3!(4!)412!Check answerSkip