Question: A two-to-one function is a function f: X Y such that for each y E Y there exist exactly two elements 1, 2 EX

A two-to-one function is a function f: X Y such that for each y E Y there exist exactly two elements 1, 2 EX such that f(a) = y = f(x2). How many two-to-one functions are there from a 2n-element set X to an n-element set Y?

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