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Combinations with Repetition

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

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Combinations with Repetition -

Tag(s) : Combinatorics,Mathematics

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# Combinations with Repetition

## Counting Combinations with Repetitions

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

### How to generate combinations with repetition?

Item combinations with repetition consist in the list of all possible arrangements of elements (which can be repeated) in any order.

A,B,C items be shuffled in 6 couples of 2 items: A,A A,B A,C B,B B,C, C,C. Without repetition, there would be only 3 couples A,B, A,C et B,C.

The sets of n elements are called tuples: {1,2} or {1,2,3} are tuples.

### How to count combinations with repetition?

Counting repeated combinations of k items in a list of N is $$C^{N+k-1}_{N-1}$$

### How to remove the limit when computing combinations?

Combinations makes exponential values witch needs huge computing servers, so the generation must be paid.