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Consider the set S = {x1, x2, . . . , x2} of n distinct elements....

Consider the set S = {x1, x2, . . . , x2} of n distinct elements. Find the number of even-sized subsets of S? For example, if S = {a, b, c}, then there are four even-sized subsets of S – {}, {a, b}, {a, c}, and {b, c}. Justify your answer.

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