



 
Tom, I am not certain I know exactly what you mean, but here goes. Let's call the teams A and B, and the players a1, a2, a3, a4, and b1, b2, b3, b4, respectively. You're looking at the four sets of pairings that have each player with A with each player from B.
It isn't possible to perfectly balance the foursomes. You can perfectly balance the A's against the B's by always putting a1 and a2 out in the same foursome (any two A's would work). Otherwise, in an ideal world some pairs would be together twice and others only once. Unfortunately the world isn't ideal and the arrangement that's hoped for does not exist. We have checked by computer that, with 8 players, any collection of foursomes will have some pairs together three times. Victoria  


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