Question

How many symmetric relations are there on a set with n elements?

Answer 1

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$\mathfrak{\green{Answer.}}$ non-diagonal elements in R, and it follows that there is only one relation R = φ, which is symmetric and asymmetric. for the remaining (n2 − n)/2 elements, there exist 3(n2−n)/2binary relations which are reflexive and antisymmetric.
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