Hi ,

My name is Carolyn and I am in 9th grade
I have a couple of questions that my dad asked me and I do not think it can be done in the manner he wants it to come out to.

He is going on a golf trip in June. There are going to be either 8 or 12 players playing 4 rounds of golf.

The questions that he says will not work and I do not know how to figure it out either is

4 Rounds of golf is for sure. 18 hole Rounds each

4 Players to a group

Either 8 or 12 players can every player play with every player in a group at least once during those 4 rounds.

If this can be done can you give me the combinations for both 8 and 12 , so I can help out my dad. Along with how you you figure this out.

Thank you,



For 8 players:
Round 1
1 2 3 4
5 6 7 8

Round 2
1 2 5 6
3 4 7 8

Round 3
1 2 7 8
3 4 5 6

Round 4
Any arrangement - in the first three rounds, every player has played with every other player at least once
Note - it would be impossible for every player to play with every other player EXACTLY once

For 12 players (a number or letter represents a player):
Although I can't prove it, this seems to be impossible