Combinatorics: Permutation Generator with Repetitions

Generate permutations with repetitions from n to m elements using this calculator for combinatorial analysis.

Esta página existe graças aos esforços das seguintes pessoas:

Timur

Timur

cruelity0_0

Criado: 2015-12-04 02:05:49, Ultima atualização: 2023-05-27 13:49:49
Creative Commons Attribution/Share-Alike License 3.0 (Unported)

Este conteúdo é licenciado de acordo com a Licença Creative Commons de Atribuição/CompartilhaIgual 3.0 (Unported). Isso significa que você pode redistribuir ou modificar livremente este conteúdo sob as mesmas condições de licença e precisa atribuir ao autor original colocando um hyperlink para este trabalho no seu site. Além disto, favor não modificar qualquer referência ao trabalho original (caso houver) que estiverem contidas neste conteúdo.

Using the calculator

Specify the "Permutation size" by entering the desired number of elements. In the "Set" table, provide the values from the set in the "Value" column. Click the "Generate Permutations" button to obtain the resulting permutations in the "Permutations" table, which consists of a "Number" column (a row counter) and a "Permutation" column (the elements separated by commas).

PLANETCALC, Combinatorics. Permutation generator from N to M with repetitions.

Combinatorics. Permutation generator from N to M with repetitions.

Set

Value
Items per page:

The file is very large. Browser slowdown may occur during loading and creation.

Permutations with repetitions

The "Permutations" table displays the generated permutations from n to m elements with repetitions. In permutations with repetitions, the elements can appear multiple times, and two permutations are considered equal only if the same elements occupy the same locations.

For example, when considering the set of three elements A, B, C and generating permutations of length two, the possible permutations are: AA, AB, AC, BA, BB, BC, CA, CB, CC.

The total number of possible permutations with repetitions of n elements by m is calculated using the formula:

A_{n}^{'m} = n^m

To understand the algorithm used for generating permutations with repetitions, you can refer to the link here. This calculator simplifies the process of analyzing and generating permutations with repetitions, providing a valuable tool for combinatorial calculations.

URL copiado para a área de transferência
PLANETCALC, Combinatorics: Permutation Generator with Repetitions

Comentários