Design a Fair Golf Schedule for 8 Players: 30 Rounds?

[gloffer]

Can anyone design a golf schedule for 8 golfers, playing 30 rounds, with each golfer paired with every other golfer the same number of times, and playing against every other golfer the same number of times? Each team of 2 will play another team of 2 each time. If 30 doesn't compute, what number of games will fit the criteria?

 

[jtbell]

How do differential equations come into this?

 

[blimkie]

there is equation you can use i just didnt pay enough attention to remember them. heh. combinations i think nCr

 

[HallsofIvy]

?? Yes, combinations are obviously involved. But why is it under differential equations? I'm going to move it to general mathematics.

 

[verty]

Gloffer, if a hint is all you want, go over how to calculate permutations and combinations.

 

[Learning Curve]

looks like he made a user name (gloffer=golfer) for someone here to figure out his dilemma.