thats an awful lot of matches to arrange!
assuming they will have the same partner for the foursome matches throughout that will be 10 pairs. your looking at around 30 rounds.
I think you probably mean 'fourball'. Otherwise any player will be playing with his/her partner in each 'foursome'.
If it is fourballs, that really is a shed load of matches!
Swingslikehogan is a numbers man. PM him to check on how many matches that would involve - even playing each other just once! I'll need to ponder it - my maths is ancient - but it certainly feels like it's in the hundreds!