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Timeline for Number of Permutations?

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Oct 17, 2013 at 20:54 history edited Timothy Chow CC BY-SA 3.0
Added a paragraph giving more information
Oct 17, 2013 at 1:01 comment added Timothy Chow Peter, you are correct; I missed this nuance when I first posted the answer. The number I described only gives the average over all permutations with $j$ cycles.
Oct 16, 2013 at 8:59 comment added Peter Mueller Maybe one should make clear that this does not answer the question, unless the conjugacy class of $\sigma$ is already determined by the number $j$ of cycles.
Oct 15, 2013 at 22:42 history edited Timothy Chow CC BY-SA 3.0
Corrected last sentence
Oct 15, 2013 at 22:25 history answered Timothy Chow CC BY-SA 3.0