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Question

If the set S={1, 2, 3, , 12} is to be partitioned into three sets A, B, C of equal size such that ABC=S, AB=B C=A C=ϕ then the number of ways of partitioning S is :

A
12!(3!)4
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B
12!3!(4!)3
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C
12!3!(3!)4
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D
12!(4!)3
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