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

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=AcapC=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`

Text Solution

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The correct Answer is:
C
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