Question: Suppose that A is a set with 5 elements and B is a set with 7 elements. Q: How many bijections (bijective functions) are there

Suppose that A is a set with 5 elements and B is a set with 7 elements.

Q: How many bijections (bijective functions) are there from A to A with the property that no element of A is mapped to itself

I know the answer might be 44. But I do not know how to write that step by step. Maybe do not use the "derangement" to solve? If you have to use the derangement formula, please explain the meaning of the formula to me, thank you!

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