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MathGroup Archive 2005

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Re: permutations

  • To: mathgroup at
  • Subject: [mg62450] Re: permutations
  • From: dh <dh at>
  • Date: Thu, 24 Nov 2005 06:33:50 -0500 (EST)
  • References: <dm1jov$n4c$>
  • Sender: owner-wri-mathgroup at

Hi Francisco,
The number of permutations can easily be calcultaed by n!. For n=20 this 
gives a number of the order of 10^18. You will certainly not be able to 
store this in the near future.

What can you do? Although I can not imagine what you want to do with so 
many permutations, you could still use: NextPermutation from the 
package: DiscreteMath`Combinatorica`. This will give you one permutation 
at a time. Of course, it will take some patience to go through all 


Francisco Gutierrez wrote:
> Dear Group:
>   If I do for example:
>   Permutations[{x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12}],
>   my computer runs out of memory.
>   This is not such a poor computer.  Actually, I would need to do permutations of lists of Length 20, perhaps 25.  I am aware these calculations are big (Length[x]!), but I wonder if there is some way around the problem. Compilating Permutations? But then how? Can somebody help me?
>   Francisco Gutiérrez

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