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MathGroup Archive 2007

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Re: Combination List

  • To: mathgroup at smc.vnet.net
  • Subject: [mg78021] Re: Combination List
  • From: "Sem" <sarner2006-sem at yahoo.it>
  • Date: Thu, 21 Jun 2007 05:51:46 -0400 (EDT)
  • References: <f55qci$k58$1@smc.vnet.net> <f58bk7$6ve$1@smc.vnet.net> <f5arsg$9aq$1@smc.vnet.net>

Did you mean this:

In[1]:= Tuples[Range[4],3]
Out[1]=
{{1,1,1},{1,1,2},{1,1,3},{1,1,4},{1,2,1},{1,2,2},{1,2,3},{1,2,4},{1,3,1},{1,3,
    2},{1,3,3},{1,3,4},{1,4,1},{1,4,2},{1,4,3},{1,4,4},{2,1,1},{2,1,2},{2,1,
    3},{2,1,4},{2,2,1},{2,2,2},{2,2,3},{2,2,4},{2,3,1},{2,3,2},{2,3,3},{2,3,
    4},{2,4,1},{2,4,2},{2,4,3},{2,4,4},{3,1,1},{3,1,2},{3,1,3},{3,1,4},{3,2,
    1},{3,2,2},{3,2,3},{3,2,4},{3,3,1},{3,3,2},{3,3,3},{3,3,4},{3,4,1},{3,4,
    2},{3,4,3},{3,4,4},{4,1,1},{4,1,2},{4,1,3},{4,1,4},{4,2,1},{4,2,2},{4,2,
    3},{4,2,4},{4,3,1},{4,3,2},{4,3,3},{4,3,4},{4,4,1},{4,4,2},{4,4,3},{4,4,
    4}}

In[2]:= Length[%]
Out[2]= 64

    ?

HTH,

    Sem

"Bruno Campanini" <BC at gmail.com>  news:f5arsg$9aq$1 at smc.vnet.net...
> "Jean-Marc Gulliet" <jeanmarc.gulliet at gmail.com> wrote in message
> news:f58bk7$6ve$1 at smc.vnet.net...
>
>> I believe the last line is a typo (otherwise your request does not make
>> any sense).
>
> Yes it is.
> Thank you Jean-Marc and thanks to the other fellows.
> I got a number of good solutions to my question.
>
> May I go on...
> What if I can have one or more repeated elements in subsets?
> That is the number of combinations of 3 elements out of 4
> - with one or more duplicated elements - is Binomial[4+3-1,3] = 20
>
> How can I get the list?
>
> Bruno
>
> 


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