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The number of functions f from {1,2,3,…,...

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:

A

`15! xx 6!`

B

`(15)^6 xx 15`

C

`5! xx 6!`

D

`15! xx 6^5`

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