# Thread: Schedule for 4-teams competitions league

1. ## Schedule for 4-teams competitions league

Hi, I would like to know how to solve this problem. There are 8 teams in league (suppose that teams are numbers - 1 to 8). I need schedule for team competitions, but there are 4 teams in each competition (not 2 teams as usual). Example of one competition could be (1 - 3 - 5 - 7).
Requirements:
1. Every team has to be the same number of times on each position (in my example team no 1 is on first position, team no 3 is on second position and so on).
2. Every team has the same number of meetings with each other - it's not possible to team no 1 always plays with team no 3 and never with no 2 for example.

Could you help me with this problem?

2. Originally Posted by bero
Hi, I would like to know how to solve this problem. There are 8 teams in league (suppose that teams are numbers - 1 to 8). I need schedule for team competitions, but there are 4 teams in each competition (not 2 teams as usual). Example of one competition could be (1 - 3 - 5 - 7).
Requirements:
1. Every team has to be the same number of times on each position (in my example team no 1 is on first position, team no 3 is on second position and so on).
2. Every team has the same number of meetings with each other - it's not possible to team no 1 always plays with team no 3 and never with no 2 for example.

Could you help me with this problem?
What methods have you been given for this exercise (especially since you're in a grammar-school "Arithmetic" class, rather than "Pre-Algebra" or above)? How far have you gotten in applying that information? Where are you stuck?

3. Originally Posted by stapel
What methods have you been given for this exercise (especially since you're in a grammar-school "Arithmetic" class, rather than "Pre-Algebra" or above)? How far have you gotten in applying that information? Where are you stuck?

Hi, thanks for you reply. I don't know what method should I use - this is a question for you . This is not a problem from school (I was in school many years ago), this is a problem from real life and I need a solution for it. I'm stuck on the beginning - I don't know how to make a first step. I tried to do it 'by hand' but there are too many possibilities. I would like to create that schedule for 10 teams also so it would be better if I will know the methodology... Will be grateful for any help.