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The set S={1,2,3,......12} is to be partitioned into three sets A, B, C of equal size. ThusA∪B∪C = S, A∩B=B∩C=C∩A=ϕ . The number of ways to partition is

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a

12!(4!)3

b

12!3! (3!)4

c

12!(4!)3.3!

d

12!(3!)4

answer is C.

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=12!(4!)3.3!

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