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Below are all symmetric relation. So total number of symmetric relation will be 2nn12. Number Of Symmetric Relations On A Set Proof Youtube 1 1 2 2 1 1 2 2 1 2 2 1 1 1 1 2 2 1 2 2 1 2 2 1 1 1 1 2 2 1 1 2 Input. . This question does not show any research effort. So from total n2 pairs only nn12 pairs will be chosen for symmetric relation. To satisfy the property of asymmetric relation one has three possibilities of either to include only of type x y or only of type y x or none from a single group into the subset. Given a positive integer N the task is to find the number of irreflexive relations that can be formed over the given set of elements. Binary relations may have different properties such as reflexivity symmetry transitivity and so on. It is unclear or not useful. N Total not symmetric 2 n 2 2 n n 1 n n 1 because n choices for a and hence n 1 choices for b in a non symmetric relation with ab. If set ...