1. A method of playing a bowling game in which players are allowed a preselecting maximum number of balls to knock down all pins in each of a preselected plurality of frames, said method comprising: (a) selecting a course of a predetermined sequence of differing pin setups defining said plurality of frames to be played by a player at his respective playing station; (b) requiring each player to deliver at least one of said preselected maximum number of balls in each of said frames; (c) counting the number of balls delivered by each player in each frame and the number of each player's pins remaining at the end of said frame, to determine a score for each player for each frame; (d) recording each player's frame score determined by said counting; (e) adding each player's frame scores to determine said player's total score for the game; and (f) comparing the players' game scores to determine the winner of the game.