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

The set S={1,2,3….12} is to be partitioned into three sets A,BC of equal size Thus `A cup B cup C =S ,A cap B =B capC=A cap C=varphi` the number of ways to partitions S is

A

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

B

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

C

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

D

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

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A
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