This is a problem I ran across recently while trying to schedule classes which I thought might be interesting theoretically.
Given k golfers who want to play on m courts for n weeks, is it possible to arrange groups of golfers of fixed size s (where s can possibly be smaller than m/k) such that every golfer plays on every court, and every golfer plays every week?
I'm actually trying to solve this for k=24, m=n=7, s=6
Is there an equivalent or similar problem I should look at? Is there a way to solve this for small n so I can get my personal version done in time for the classes?
