Re: Too many arrays! My head is exploding!

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On Tue, May 29, 2012 at 10:55 AM, Tedd Sperling <tedd@xxxxxxxxxxxx> wrote:
> On 29 May 2012 18:15, Gary <listgj-phpgeneral@xxxxxxxxxxx> wrote:
>
>> Okay, let's assume I have three "things", A, B, and C. I need to produce
>> an array with a list of all possible combinations of them, however many
>> there might be in those combinations: e.g. A, B, C, D, AB, AC, AD, BC,
>> ABC (not sure if I've missed any!). Normally I'm pretty good at working
>> this stuff out, but to be honest I'm struggling with this one, at least
>> to do it in any kind of elegant way. Does anyone have any ideas?
>
> Sure, but what you are asking for is a permutation and not a combination.

His example seems to suggest order does not matter (I've omitted 'D',
which I suspect was a typo given the set of A, B, and C):

A
B
C
AB
AC
BC
ABC

If order did matter, he would have included BA, etc.

That all said, combinations typically involve a consistent number of
choices, and his example includes various ranges of r.

These would be combinations for r = 1:
A
B
C

These would be combinations for r = 2:
AB
AC
BC

This would be the combination for r = 3:
ABC

What it seems like he's after is the power set of set ABC (minus the empty set):
http://en.wikipedia.org/wiki/Power_set

Adam

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