Possible combinations of numbers for 3,4,5,6,7 (up to 9?)

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SUMMARY

The discussion centers on finding a software solution to generate all possible combinations of numbers ranging from 3 to 9, using a set of numbers up to 99. The user previously utilized a program called "Combinations!" by Gordon Gonsalves, which efficiently calculated combinations, such as 8,145,060 combinations for the input (6, 45). Since the original program is no longer supported, the user seeks alternatives that can also export results to a tab-delimited text file.

PREREQUISITES
  • Understanding of combinatorial mathematics, specifically the formula for combinations.
  • Familiarity with software that can generate and export data, such as Excel or programming languages like Python.
  • Basic knowledge of file formats, particularly tab-delimited text files.
  • Experience with desktop applications for mathematical computations.
NEXT STEPS
  • Research software alternatives to "Combinations!" that can generate combinations and export to text files.
  • Explore Python libraries such as itertools for generating combinations programmatically.
  • Investigate online combinatorial calculators that may offer downloadable options.
  • Learn about mathematical software like MATLAB or Mathematica for advanced combinatorial functions.
USEFUL FOR

This discussion is beneficial for mathematicians, software developers, and data analysts who require efficient methods for generating and exporting combinations of numbers for various applications.

AlexFX
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Hello everyone.
Thanks for this amazing forum.
I hope I can be forgiven for asking for a software problem rather than a topic specific puzzle.
I am looking and happy to pay for a downloadable program I can run from my desk top which will return all possible combinations of numbers for 3,4,5,6,7...(up to 9?) from any given set of numbers (up to 99?), Generated combinations should be numbered/ordered from 1-X.
Generated combinations and sub-sets should be printable and exported to a tab-delimited text file.
Can anyone please lead me in the right direction?

I had a real nifty little program called... Combinations! by Gordon Gonsalves on my laptop (OS: XP) but my laptop bit the dust without notice.
It would for instance return 8,145,060 combinations (6,45) in a few seconds.

Gordon is no longer selling/ providing support so if anyone can help I would be in your debt.
Many thanks for time and attention.
Alex
 
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I don't really understand what you are asking for. To the extent that I can understand it, it sounds rather trivial so I'm probably missing something. Can you give examples or something to further explain?
 
I'm guessing that the OP is asking about the number of combinations of n things taken r at a time, where n can be up to 99 or so, and r can be up to 9.

In symbols, this would be
$$n \choose r$$

What he's saying, I think, is that $$ {45 \choose 6} = 8,145,060$$
but I haven't verified this.
 
Last edited:
The website is still there, and it appears the programs are now free. I didn't actually try the programs or check for viruses.

http://ggonsalves.com
 
Correct.
The formula for combinations (not permutations) would be 45!/[(45-6)!(6!)] = (because the order or the sequence does not matter) =8,145,060.

I'm looking for a program which would generate all possible combinations for different variables
up to 99!/[(99-9)!(9!)], exportable to a tab-delimited text file.

rcgldr, thanks, I know the website is still up but the free downloads are very limited, and Gordon has left the receiver off the hook.

I imagined there might be someone here on the forum who could help.
Thanks for time and attention and pardon if I've used up precious time.
 

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