Cycles and Fixed Points - Counting Permutations By Number of Fixed Points

Counting Permutations By Number of Fixed Points

The value f(k, j) counts the number of permutations of k elements with exactly j fixed points. For the main article on this topic, see rencontres numbers.

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Famous quotes containing the words counting, permutations, number, fixed and/or points:

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    He is the best sailor who can steer within the fewest points of the wind, and extract a motive power out of the greatest obstacles. Most begin to veer and tack as soon as the wind changes from aft, and as within the tropics it does not blow from all points of the compass, there are some harbors which they can never reach.
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