       Re: Permutations.

• To: mathgroup at smc.vnet.net
• Subject: [mg14805] Re: [mg14771] Permutations.
• From: Jurgen Tischer <jtischer at col2.telecom.com.co>
• Date: Wed, 18 Nov 1998 01:29:06 -0500
• References: <199811140808.DAA03469@smc.vnet.net.>
• Sender: owner-wri-mathgroup at wolfram.com

```Hi Alan,

In:= <<DiscreteMath`Combinatorica` In:= KPermutations[li_,n_]:=
Flatten[Outer[Part,KSubsets[li,n],Permutations[Range[n]],1],1]

Jurgen

"Alan W.Hopper" wrote:
>
> Greetings,
>
> For the combinations of n objects taken k at a time, (where order counts
> and there is no duplication), the function KSubsets is the one to use.
> e.g.
>       In:= <<DiscreteMath`Combinatorica`
>
>       In:= Table[KSubsets[{a,b,c,d}, k], {k, 4}]
>
>      Out= {{{a}, {b}, {c}, {d}},
>               {{a,b}, {a,c}, {b,c}, {b,d}, {c,d}},
>               {{a,b,c}, {a,b,d}, {a,c,d}, {b,c,d}},
>               {{a,b,c,d}}}
>
> But likewise in wanting to find all the permutation subsets (with no
> duplication and order not counting), of a numerical or symbolic list,
> there does not seem to be a function anywhere (including the packages),
> to achieve this goal.
>
> (By n!/(n-k)!, there will be be; 4, 12, 24, 24  permutations  taken k =
> 1, 2, 3, 4  at a time, for a 4 element list).
>
> The built-in function Permutations and also LexicographicPermutations
> (from Combinatorica) do not take a second argument, as KSubsets does,
> and so only the (n, k=n) permutations (24 in the example ) can be
> found.
>
> I would appreciate some assistance to find a way to generate all of the
> permutation subsets, in List, Table or Column form.
>
> Alan W.Hopper
> awhopper at hermes.net.au

```

• References:
• Prev by Date: Re: Bug in Calculus`DiracDelta`
• Next by Date: Re: Bivariate Normal Distributions -- can they be estimated in my lifetime?