1-2, 3-4, 5-6, 7-8
1-3, 2-4, 5-7, 6-8
1-4, 2-3, 5-8, 6-7
1-5, 2-6, 3-7, 4-8
Check:
1: 2,3,4,5
2: 1,3,4,6
3: 1,2,4,7
4: 1,2,3,8
5: 1,6,7,8
6: 2,5,7,8
7: 3,5,6,8
8: 4,5,6,7
The goal is to make a schedule that will allow 8 teams to play each of 4 games once without playing the same team twice.
For instance,
Games 1 Game 2 Game 3 Game 4 Week 1 1 vs 8 2 vs 7 3 vs 6 4 vs 5 Week 2 Week 3 Week 4
In week 2, each team must play a different game without ever playing a team that they have previously face.
By the way, your problem really is:
You have 28 2digit numbers:
12,13,14,15,16,17,18,23,24,25,26,27,28,34,35,36,37 ,38,45,46,47,48,56,57,58,67,68,78
Enter 16 of these numbers in a 4 by 4 array such that:
1: the 4 numbers in each row are made up of all digits 1 to 8
2: the 4 numbers in each column are made up of all digits 1 to 8
This makes it relatively easy to write a computer program.