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-
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12!/3!(4!)3
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12!/3!(3!)4
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12!/(4!)3
-
12!/(3!)4
Solution
C.
12!/(4!)3
Number of ways
