Set, Relation and FunctionHard

Question

The set S = {1, 2, 3, ...., 12) is to be partitioned into three sets A, B, C of equal size. Thus, A∪B∪C = S, A∩B = B∩C = A∩C = φ. The number of ways to partition S is

Options

A.
B.
C.
D.

Solution

Number of ways is 12C4 × 8C4 × 4C4
    =

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