Question: Let A = {1, 2, 3, 4} and B = {x, y, z}. (a) List five functions from A to B. (b) How many functions

Let A = {1, 2, 3, 4} and B = {x, y, z}. (a) List five functions from A to B. (b) How many functions f: A → B are there? (c) How many functions f:A→B are one-to-one? (d) How many functions g: B → A are there? (e) How many functions g: B → A are one-to-one? (f) How many functions f: A → Z? satisfy f(l) = x? (g) How many functions f.A→B satisfy /(l) = f(2) = x? (h) How many functions f : A → B satisfy f(1) = x and f(2) = y?

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