6. Suppose Kingston sponsors a race. Each participant has a chance to win one of the different- sized trophies that are to be awarded to the first six runners who finish. (a) If 20 people enter the race, in how many ways will it be possible to award the trophies? (b) If Karen and Ethan are two participants in the race, in how many ways can the trophies be awarded with these two runners among the top three