Question: Suppose that f: A A is a bijective function. (a) If |A| = 5, how many possible bijections are there from A to A?

Suppose that f: A A is a bijective function. (a) If |A| = 5, how many possible bijections are there from A to A? (Hint: Remember that bijective functions must be injective.) (b) Prove that f of is also a bijective function.

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