Search for a tool
Combinations with Repetition

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

Results

Combinations with Repetition -

Tag(s) : Mathematics

Share
Share
dCode and you

dCode is free and its tools are a valuable help in games, maths, geocaching, puzzles and problems to solve every day!
A suggestion ? a feedback ? a bug ? an idea ? Write to dCode!


Please, check our community Discord for help requests!


Thanks to your feedback and relevant comments, dCode has developped the best Combinations with Repetition tool, so feel free to write! Thank you !

Combinations with Repetition

Combinations with Repetitions Generator






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.

Answers to Questions

How to generate combinations with repetition?

Item combinations with repetition consist in generating the list of all possible combinations with elements that can be repeated.

Example: 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 (sometimes called k-combination) in a list of N is noted $ \Gamma_n^k $ and $$ \Gamma_n^k = {n+k-1 \choose k} = \frac{(n+k-1)!}{k! (n-1)!} $$

The number of combinations with repeats of $ k $ items among $ N $ is equal to the number of combinations without repeats of $ k $ items among $ N + k - 1 $.

How to remove the limit when computing combinations?

The calculation of the combinations generates an exponential number of values and the generator require large calculation power on servers, there generations have therefore a cost (ask for a quote).

Source code

dCode retains ownership of the online 'Combinations with Repetition' tool source code. Except explicit open source licence (indicated CC / Creative Commons / free), any algorithm, applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any function (convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (PHP, Java, C#, Python, Javascript, Matlab, etc.) no data, script or API access will be for free, same for Combinations with Repetition download for offline use on PC, tablet, iPhone or Android !

Need Help ?

Please, check our community Discord for help requests!

Questions / Comments

Thanks to your feedback and relevant comments, dCode has developped the best Combinations with Repetition tool, so feel free to write! Thank you !


Source : https://www.dcode.fr/combinations-with-repetitions
© 2020 dCode — The ultimate 'toolkit' to solve every games / riddles / geocaching / CTF.
Feedback