Re: Combinations

*To*: mathgroup at smc.vnet.net*Subject*: [mg49731] Re: Combinations*From*: "Steve Luttrell" <steve_usenet at _removemefirst_luttrell.org.uk>*Date*: Thu, 29 Jul 2004 07:45:36 -0400 (EDT)*References*: <ce5dk5$b87$1@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

Flatten[Outer[List, {a, b, c}, {a, b, c}, {a, b, c}], 2] {{a,a,a},{a,a,b},{a,a,c},{a,b,a},{a,b,b},{a,b,c},{a,c,a},{a,c,b},{a,c,c},{b, a, a},{b,a,b},{b,a,c},{b,b,a},{b,b,b},{b,b,c},{b,c,a},{b,c,b},{b,c,c},{c,a, a},{c,a,b},{c,a,c},{c,b,a},{c,b,b},{c,b,c},{c,c,a},{c,c,b},{c,c,c}} Steve Luttrell "Gregory Lypny" <gregory.lypny at videotron.ca> wrote in message news:ce5dk5$b87$1 at smc.vnet.net... > Hello everyone, > > Does Mathematica have a built-in function that will generate a simple > list all possible combinations of a list of strings? For example, > {a,b,c}, where the elements are strings, should give 3x3=27 triplets of > "aaa", "aba", etc. > > I tried > > In[4]:=Outer[{a,b,c},{a,b,c},{a,b,c}] > > but I get > > {{{a, b, c}[a, a], {a, b, c}[a, b], { > a, b, c}[a, c]}, {{a, b, c}[b, a], {a, b, c}[b, b], {a, b, > c}[b, c]}, {{a, b, c}[c, a], {a, b, c}[c, b], {a, b, c}[c, c]}} > > which is going to be difficult to match with my data using BinCounts > and the like. > > Regards, > > Greg >