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Let S = {1,2,...,100} and let T = {f :SS} be the set of all functions with domain and codomain S . Note that f

Let S = {1,2,...,100} and let T = {f :SS} be the set of all functions with domain and codomain S . Note that f (S) is the set of elements in S that are image of any element in the domain. Now let's defineAi={fTi/f(S)} i.e.Ai is the set of all functions where no element maps to i. What is the value A1A2?

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