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The set S={1,2,3,...,12} is to be partit...

The set `S={1,2,3,...,12}` is to be partitioned into three sets A,B,C of equal size. Thus `AcupBcupC=S, AcapB=B capC=C capA=phi.` Find the number of ways to partition S.

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The correct Answer is:
`(|underset_2)/(|underset(_)4)^(3)`
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