Four athletes compete in seventy-five events. Each athlete starts off with (exactly) zero points, but in each event, the athlete who finishes first gets five points, the athlete who finishes second gets three points, the athlete who finishes third gets two points, and the athlete who finishes fourth loses ten points. Assuming that a.) no two events end in the exact same order of the athletes, b.) none of the athletes are ever penalized for cheating, c.) an athlete's score can go to the negatives, and d.) none of the events feature any forfeits, how often will each athlete come in each position, and what will be their final score?
