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Permutations and Combinations question

2007 · Shift 0 · Q58
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  5. /2007 · Shift 0 · Q58

Permutations and Combinations question

2007 · Shift 0 · Q58

JEE MainMathematicsPermutations and CombinationsMCQ+4 / −1
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=ϕA \cup B \cup C = S,\,A \cap B = B \cap C = A \cap C = \phiA∪B∪C=S,A∩B=B∩C=A∩C=ϕ. The number of ways to partition S is
  1. A
    12!(4!)3  {{12!} \over {{{(4!)}^3}}}\,\,(4!)312!​
  2. B
    12!(4!)4  {{12!} \over {{{(4!)}^4}}}\,\,(4!)412!​
  3. C
    12!3!  (4!)3{{12!} \over {3!\,\,{{(4!)}^3}}}3!(4!)312!​
  4. D
    12!3!  (4!)4{{12!} \over {3!\,\,{{(4!)}^4}}}3!(4!)412!​
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