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The set S""=""{1,""2,""3,""........ ,"...

The set `S""=""{1,""2,""3,""........ ,""12)` is to be partitioned into three sets A, B, C of equal size. Thus, `AuuBuuC""=""S ,""AnnB""=""BnnC""=""AnnC""=varphi` . The number of ways to partition S is

A

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

B

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

C

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

D

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

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