The number of functions f from {1, 2, 3, …, 20} only {1, 2, 3, …, 20} such that f(k) is a multiple of 3, whenever k is a multiple of 4, is:
(A) 6⁵ × (15)! (B) 5! × 6! (C) (15)! × 6! (D) 5⁶ × 15
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Answer:
B)5!×6!
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