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

The set S = {1, 2, 3, ..., 12} is to be partitioned into three sets A, B, C of equals size. Thus, `A cup B cup C=S, Acap B=B cap C=A cap C= phi `. The number of ways to partition S is

A

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

B

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

C

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

D

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

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The correct Answer is:

C

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