Scheduling 12 teams competing at 6 different events I have a seemingly simple question.  There are 12 teams competing in 6 different events.  Each event is seeing two teams compete.  Is there a way to arrange the schedule so that no two teams meet twice and no teams repeat an event.
Thanks.
Edit: Round 1: All 6 events happen at the same time.  Round 2: All 6 events happen at the same time.  And so on until Round 6.

A solution to the specific problem is here:

Event 1     Event 2     Event 3     Event 4     Event 5     Event 6
1  - 2      11 - 1      1  - 3      6  - 1      10 - 1      1  - 9
3  - 4      2  - 3      4  - 2      2  - 11     2  - 9      10 - 2
5  - 6      4  - 5      5  - 7      7  - 4      3  - 11     4  - 8
7  - 8      6  - 7      8  - 6      3  - 10     4  - 6      7  - 3
9  - 10     8  - 9      10 - 11     9  - 5      8  - 5      11 - 5
11 - 12     12 - 10     9  - 12     12 - 8      7  - 12     12 - 6

which came from the following webpage: http://www.crowsdarts.com/roundrobin/sched12.html
