Determine the number of perfect pairings in a complete bipartite graph Kn,n, in which n disjoint edges are removed.

Determine the number of perfect pairings in a complete bipartite graph Kn,n, in which n disjoint edges are removed.

  • This question is admittedly easy, but it still takes some time to write down a polished answer. In general, 2$ is very low for any question that requires more than just the result, and even then, it should be immediate. If you want the procedure shown, I think this goes in the 5-10$ range, depending on the level of detail you want.

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