Re: Permutation of groups

[blokhead]

Actually this looks more like set partitions than combinations to me. You are splitting up a set into smaller subsets, and order and size of subsets doesn't matter. There is some sample code for a set partition iterator in one of my nodes Re: Generator of integer partitionts of n for starters, and plenty of other places too, probably, if you super search with that term.

[Limbic~Region]

blokhead,
I can see your point of view too. I admit that I focused on:

In fact, I want to get all possible teams:

While my solution addresses the above statement in isolation, taken in context with the rest of the post it is likely lacking. For instance:

• For any given game, do all teams need to have the same number of players?
• For any given game, can a player participate in more than one team?
• For any given game, do all players need to play or can they "sit out"?

I am not sure how much of your code addresses those points either but I am pretty sure it misses how to convert a team to a "number" and its reciprocal. Any ideas on that front?

[tomazos]

Specifically for a given partitioning ever person must belong to exactly one team.

Teams do not have to be of the same size.

eg For three people:
1.    A   B  C
2.    AB  C
3.    A   BC
4.    AC  B
5.    ABC

[Limbic~Region]

tomazos,
Assuming it does the right thing, you are going to want to use the integer partitioning code blokhead refers to above and the binary counting I explained. You will not have a contigous range of team reference numbers but they will be guaranteed to be unique and will never be higher than 2 ** $num_of_people.

If I find the time tonight or tomorrow, I will code this for you. If you end up coding it on your own, please post so others can benefit and I won't bother.