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

The set S={1,2,3,…, 12} is to be partioned into three sets A,B, C of equal size. Thus ,
`A uu B uu C =S , A nn B = B nn C = A nn C = phi` . The number of ways to partition S is :

A

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

B

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

C

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

D

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

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The correct Answer is:
A
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