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

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

A

`(12!)/((4!)^(3))`

B

`(12!)/((4!)^(4))`

C

`(12!)/(3!(4!)^(3))`

D

`(12!)/(3!(4!)^(4))`

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A
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