I have a set of 5 elements. I need to count how many relations of 5 elements are asymmetric and transitive and the same time. So, since there is no type of binary relations (Tolerance, Equivalence, Quasi-order, Partial order, Strict order don't correspond) I don't know which formula I should use. How to do that? I know how to count all asymmetric relations: $3^{\frac{n^2-n}{2}}=3^{10}$. But how to count how many out them are transitive?
2026-04-05 04:51:42.1775364702
Number of binary relations of 5 elements which are asymmetric and transitive
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