3. Let A = {1, 2, 3, 4}. Let F be the set of all functions from A to A. (a) How many pairs (f, g) E F × F are there so that go f(1) = 1? Explain. (b) How many pairs (f, g) E F × F are there so that gof(1) = 1 and go f(2) = 2? Explain. (c) How many pairs (f, g) E F × F are there so that go f(1) = 1 or go f(2) = 2? Explain. (d) f(1) L 22 Fuploin

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