dCode is free and its tools are a valuable help in games, puzzles and problems to solve every day! You have a problem, an idea for a project, a specific need and dCode can not (yet) help you? You need custom development? Contact-me!

This page is using the new English version of dCode, please make comments !

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

Answers to Questions

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,AA,BA,CB,BB,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.

Ask a new question

Source code

dCode retains ownership of the source code of the script Combinations with Repetition. Except explicit open source licence (free / freeware), any algorithm, applet, software (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any snippet or function (convert, solve, decrypt, encrypt, decipher, cipher, decode, code, translate) written in PHP (or Java, C#, Python, Javascript, etc.) which dCode owns rights can be transferred after sales quote. So if you need to download the Combinations with Repetition script for offline use, for you, your company or association, see you on contact page !

dCode uses cookies to customize the site content, analyze user behavior and adapt dCode to your use. Some data is stored and collected for advertising purposes and may be shared with our partners. OK