The set S = 1, 2, 3,..., 12 is to be partitioned into three sets A, B, C of equal size…
Mathematics · JEE Main · NTA Exams — Permutations and Combinations
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
- 12!/3!(4!)3
- 12!/3!(3!)4
- 12!/(4!)3
- 12!/(3!)4
Answer
(C) 12!/(4!) 3
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