Combinatorics. Permutation generator from n to m without repetitions

Combinatorics. Permutation generator from n to m without repetitions

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Created: 2015-11-25 14:59:57, Last updated: 2020-12-14 12:24:46
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This content is licensed under Creative Commons Attribution/Share-Alike License 3.0 (Unported). That means you may freely redistribute or modify this content under the same license conditions and must attribute the original author by placing a hyperlink from your site to this work https://planetcalc.com/4242/. Also, please do not modify any references to the original work (if any) contained in this content.

This calculator can be used to generate all types of permutations from n to m elements without repetitions.
You can read about permutations from n to m here – Combinatorics – combinations, arrangements and permutations.
The elements can not be repeated in such a type of permutations. Two permutations with repetition are equal only when the same elements are at the same locations.
For example, the permutations without repetitions of the three elements A, B, C by two are – AB, AC, BA, BC, CA, CB.

The number of possible permutations without repetition of n elements by m equals
A_{n}^{'m}=\frac{n!}{(n-m)!}

You can check the generation algorithm here

PLANETCALC, Combinatorics. Permutation generator from N to M without repetitions.

Combinatorics. Permutation generator from N to M without repetitions.

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