       Re: Matrix of possible combinations of N elements

• To: mathgroup at smc.vnet.net
• Subject: [mg31895] Re: Matrix of possible combinations of N elements
• From: atelesforos at hotmail.com (Orestis Vantzos)
• Date: Mon, 10 Dec 2001 06:14:35 -0500 (EST)
• References: <200112051151.GAA06760@smc.vnet.net> <9uq9pd\$afj\$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```It does pay to be more specific (and true to mathematical notation),
Anyway, if what you realy want is the 'combinations of the set
{A,B,C,D}', here they are:
In:=
4
Module[{indices = IntegerDigits[Range[0, 4 ], 4]},

combinations = Union[Union /@ indices] + 1; ({A, B, C, D}[[#1]] & )
/@ combinations]

Out=
{{A}, {B}, {C}, {D}, {A, B}, {A, C}, {A, D}, {B, C}, {B, D}, {C, D},
{A, B, C}, {A, B, D}, {A, C, D}, {B, C, D}, {A, B, C, D}}

Combinations of a set are all the ways in which someone can take some
elements and drop others, whereas Permutations are all the ways in
which someone can 'shuffle' a given set, changing the order of its
elements.
Orestis

```

• Prev by Date: Mathematica tensor product
• Next by Date: Re: I Need advice on converting Mathematica files to JPEGS or Bitmaps
• Previous by thread: Re: Matrix of possible combinations of N elements
• Next by thread: Re: Matrix of possible combinations of N elements