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Arrangements with Repetition

Tool to generate arrangements with repetitions. In Mathematics, a arrangement with repetitions is a arrangements of items which can be repeated.

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Arrangements with Repetition -

Tag(s) : Combinatorics

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Arrangements with Repetition

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Tool to generate arrangements with repetitions. In Mathematics, a arrangement with repetitions is a arrangements of items which can be repeated.

Answers to Questions

How to generate arrangements with repetition?

Item arrangements with repetition (also called k-permutations with repetition) are the list of all possible arrangements of elements (each can be repeated) in any order.

Example: X,Y,Z items be shuffled in 9 couples of 2 items: X,X X,Y X,Z Y,X Y,Y Y,Z, Z,X, Z,Y, Z,Z. The order of the items do not matter.

Sets of $ n $ items are called tuples or n-uplets.

How to count arrangements with repetition?

Counting repeated arrangements of $ k $ items in a list of $ N $ is $ N^k $

How to remove the limit when computing arrangements?

The calculations of arrangements increase exponentially and quickly require large computing servers, so the free generations are limited.

What is the cartesian product of N identical sets?

In mathematics, the Cartesian product of N identical sets is the name given the generation of arrangements with repetitions of 2 elements among N.

Example: {1, 2, 3} x {1, 2, 3} returns the set of 9 arrangements: (1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3)

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