Gfor n ∈ z≥1, consider the sets en = {binary sequences of length n with an even number of 1’s} in = {binary sequences of length n with an odd number of 1’s} (a) show that |en| = |on| by matching up elements of en with elements of on. (b) show that |e1|, |e2|, . . is a recursive sequence, and give a counting argument for the recursion

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