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Re: how to list all arrange of n! to a table

  • To: mathgroup at smc.vnet.net
  • Subject: [mg27718] Re: how to list all arrange of n! to a table
  • From: "Allan Hayes" <hay at haystack.demon.co.uk>
  • Date: Tue, 13 Mar 2001 03:52:37 -0500 (EST)
  • References: <98ht0v$mnt@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

If the order is not importent:

Permutations[Range[3]]

{{1,2,3},{1,3,2},{2,1,3},{2,3,1},{3,1,2},{3,2,1}}

Or if single numbers are needed:

ToExpression[StringJoin@@@Permutations[ToString/@Range[3]]]

{123,132,213,231,312,321}

If the order is importent

xx=Take[Permutations[Range[3]]//Sort,3!/2]

{{1,2,3},{1,3,2},{2,1,3}}

Flatten[Transpose[{xx,Reverse/@xx}],1]

{{1,2,3},{3,2,1},{1,3,2},{2,3,1},{2,1,3},{3,1,2}}

--
Allan
---------------------
Allan Hayes
Mathematica Training and Consulting
Leicester UK
www.haystack.demon.co.uk
hay at haystack.demon.co.uk
Voice: +44 (0)116 271 4198
Fax: +44 (0)870 164 0565

"zeno69" <zeno69 at pchome.com.tw> wrote in message
news:98ht0v$mnt at smc.vnet.net...
> if n = 3 then list
> 123
> 321
> 132
> 231
> 213
> 312
> to access or excel
>
>
>
>




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