JEE Main 2019 · 11 Jan · Shift II

JEE Main 2019 Mathematics question on Permutations and Combinations

The number of functions ff from {1,2,3,…,20}\{1, 2, 3, \ldots, 20\} onto {1,2,3,…,20}\{1, 2, 3, \ldots, 20\} such that f(k)f(k) is a multiple of 3, whenever kk is a multiple of 4, is
  1. A.
    (15)!×6!(15)! \times 6!
  2. B.
    56×155^6 \times 15
  3. C.
    5!×6!5! \times 6!
  4. D.
    65×(15)!6^5 \times (15)!
Show answer

Correct option: A

[JEE Main 2019 · 11 Jan · Shift II]

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