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Questions related to permutations, bijections from a finite (or sometimes infinite) set to itself.

6 votes
2 answers
272 views

Number of linear orderings of a set to have balanced frequencies of triple orders

Let $S$ be a set of $n$ elements and let $Q = (s_1, s_2, \ldots, s_n)$ be a linear ordering of $S$. We write $s_i <_Q s_j$ when $s_i$ appears before $s_j$ in $Q$. I want to construct a set (or possi …
Manuel Lafond's user avatar