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The set S""=""{1,""2,""3,"" ,""12) is ...

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))`.

Text Solution

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The correct Answer is:
B
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    `(12!)/((4!)^(3))`
    D
    `(12!)/((3!)^(4))`

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    A
    `(12!)/(3!(4!)^(3))`
    B
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    D
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