Ken's POTW

Nine Rounds
Nine friends decide to play golf over nine weeks. Each week, two foursomes will play on different courses, and one of the nine friends will stay home. At the end of nine weeks, each person will have played golf eight times, and will have played with three playing partners each time, for a total of 24 playing partners. Can you build a schedule so that each person will have each of the other people as a playing partner exactly three times? Or, can you prove it can't be done?

Source: Jon Abraham's friend's mother-in-law's golfing group.

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