Re: Combinations

• To: mathgroup at smc.vnet.net
• Subject: [mg49719] Re: Combinations
• From: BobHanlon at aol.com
• Date: Thu, 29 Jul 2004 07:43:45 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

```Needs["DiscreteMath`Combinatorica`"];

Strings[{a,b,c}, 3]

{{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}}

%==Flatten[Outer[List,{a,b,c},{a,b,c},{a,b,c}],2]

True

Length[%%]

27

Bob Hanlon

> In a message dated Tue, 27 Jul 2004 11:17:25 +0000 (UTC), <
> gregory.lypny at videotron.ca> writes:  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.
>

```

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