# Combinatorics: Permutation Generator with Repetitions

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

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Criado: 2015-12-04 02:05:49, Ultima atualização: 2023-05-27 13:49:49

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### 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).

#### Set

Value
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### 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.

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