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JEE Main20245 Apr 2024Evening ShiftMathematicsSets and RelationsActual

Let the set S= 2,4,8,16, , 512 be partitioned into 3 sets A, B, C with equal number of elements such that A B C = S and A B = B C = A C = . The maximum number of such possible partitions of S is equal to:

Options

  1. A1680
  2. B1640
  3. C1520
  4. D1710

Correct answer

A. 1680

Step-by-step solution

9 ! (3 ! 3 ! 3 !) 3 ! 3 !

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