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Re: All Possible Combinations from N Sublists

  • To: mathgroup at smc.vnet.net
  • Subject: [mg97676] Re: All Possible Combinations from N Sublists
  • From: Szabolcs Horvát <szhorvat at gmail.com>
  • Date: Wed, 18 Mar 2009 04:56:21 -0500 (EST)
  • References: <gpnsej$gq4$1@smc.vnet.net>

Donald DuBois wrote:
> Given a list of N sublists, how can I produce all possible combinations where the first
> element comes from the first sublst, the second element from the second sublist etc.
> 
> For instance, 
> 
> myList = {{1, 2, 3}, {e, f}, {g, h}}
> 
> the result should be, 
> 
> 
> {{1, e, g}, {1, e, h}, {1, f, g}, {1, f, h}, {2, e, g}, {2, e, h}, {2, f, 
>   g}, {2, f, h}, {3, e, g}, {3, e, h}, {3, f, g}, {3, f, h}}
> 
> Thank you.
> 

Tuples[] does exactly this (Outer[] is similar too, but a little bit of 
flattening would be needed with that).

In[2]:= Tuples[{{1, 2, 3}, {e, f}, {g, h}}]

Out[2]= {{1, e, g}, {1, e, h}, {1, f, g}, {1, f, h}, {2, e, g}, {2, e,
    h}, {2, f, g}, {2, f, h}, {3, e, g}, {3, e, h}, {3, f, g}, {3, f,
   h}}


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