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[?] Generate all sequences of n integer that range from 1 to n?

Hi everyone,

I am searching for a way to generate all sequences of n integers that range from 1 to n. In other words, for example with n = 2, something like

{{1,1},{1,2},{2,1},{2,2}}

Does anyone know an easy way to build such a function depending only on n?

Thanks! Clément
POSTED BY: Clément Justin
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Thank you everybody! :)

Clément
POSTED BY: Clément Justin
POSTED BY: Sander Huisman

Dear Sander,

nice! Obviously Tuples works fastest - in accordance with the general rule to use tailored build in functions whenever possible. But I always learn something from your code - thank you!

Best regards -- Henrik

POSTED BY: Henrik Schachner

Standard anwer (I am sure somebody will come up with a shorter one):

tuples2[n_Integer] := Tuples[Range[n], 2]

@Paul: Sorry, I did not see your anwer in time ...
POSTED BY: Henrik Schachner
POSTED BY: Sander Huisman
Paul Cleary
Paul Cleary
Posted 9 years ago
POSTED BY: Paul Cleary

Well thank you, the function Tuples was exactly what I was looking for. But I couldn't find the right tag words to find it in the documentation... Didn't think about typing "tuples" haha!

Thanks a lot! Clément
POSTED BY: Clément Justin

Hi Clément,

when looking for a specific function (a typical task!) I always try to find a "similar" one, i.e. one inside the same "topical orbit": Then in the documentation under "See Also" one most likely finds the one needed. E.g. looking up for Permutations one gets the hint for Tuples. This is in general an excellent way of exploring the wealth of functions in Mathematica.

Regards -- Henrik
POSTED BY: Henrik Schachner
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