Say I have three elements: A, B, C. I can list all the permutations by going alphabetical in the first element, then the second, then the third, and so on, like so:(adsbygoogle = window.adsbygoogle || []).push({});

What I'm wondering, is given a number N, how do I decompose this into knowing what permutation it specifies?

- ABC
- ACB
- BAC
- BCA
- CAB
- CBA

For example, how do I figure that N=5 corresponds to CAB?

Is there a better order to list them in which makes this problem simpler?

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# Decomposition of numbered permutations.

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