Question: Let A be a finite set with k elements. How many relations are there on A that are both symmetric and not reflexive? Simplify your

Let A be a finite set with k elements. How many relations are there on A that are both symmetric and not reflexive? Simplify your answer as much as possible. Prove that for all k > 0, the number of strings over {0,1} of length skis 2k+1 1. Give a detailed (give every little step), formal proof by induction on k

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Let A be a finite set with K elements. How many relations are there on A that are both symmetric and not reflexive?

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