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
>

```

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