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JEE Math Practice Question

The number of functions f from {1, 2, 3, ...., 20} onto {1, 2, 3, ...., 20} such that f(k) is a multiple of 3, whenever k is a multiple of 4, is :

  1. A.65 $$ \times $$ (15)!
  2. B.56 $$ \times $$ 15
  3. C.(15)! $$ \times $$ 6!
  4. D.5! $$ \times $$ 6!

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