Cycles and Fixed Points - Counting Permutations By Number of Cycles

Counting Permutations By Number of Cycles

The unsigned Stirling number of the first kind, s(k, j) counts the number of permutations of k elements with exactly j disjoint cycles.

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    Motherhood in all its guises and permutations is more art than science.
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    I can’t quite define my aversion to asking questions of strangers. From snatches of family battles which I have heard drifting up from railway stations and street corners, I gather that there are a great many men who share my dislike for it, as well as an equal number of women who ... believe it to be the solution to most of this world’s problems.
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