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If set A={1, 2, 3, ...,20 }, then the fi...

If set `A={1, 2, 3, ...,20 }`, then the find the number of onto functions from `A` to `A` such that `f(k)` is a multiple of 3, whenever `k` is a multiple of 4. (A) `6^5xx15!` (B) `5^6xx15!` (C) `6!xx5!` (D) `6!xx15!`

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