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Re: All Possible Combinations from N Sublists

  • To: mathgroup at smc.vnet.net
  • Subject: [mg97651] Re: [mg97639] All Possible Combinations from N Sublists
  • From: "David Park" <djmpark at comcast.net>
  • Date: Wed, 18 Mar 2009 04:51:33 -0500 (EST)
  • References: <31581884.1237284930765.JavaMail.root@m02>

myList = {{1, 2, 3}, {e, f}, {g, h}};

Flatten[Outer[List, Sequence @@ myList], 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}}


David Park
djmpark at comcast.net
http://home.comcast.net/~djmpark/  


From: Donald DuBois [mailto:donabc at comcast.net] 

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.




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