Question: Let A = {1, 2, 3, 4, 5}. (a) Find a function f : A A so that f f (2) = 3. (b) How

Let A = {1, 2, 3, 4, 5}.

(a) Find a function f : A A so that f f (2) = 3.

(b) How many functions f : A A are there so that f f (2) = 3? Explain.

(c) How many one-to-one functions f : A A are there so that f f (2) = 3? Explain.

(d) Is there a function f : A A so that f f (2) = 3 and f f (3) = 2? Prove your answer.

Help me with all the parts please and explain how you did them

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