To raise money for a new municipal pool, the chamber of commerce in a certain city sponsors a race. Each participant pays a $5 entrance fee and has a chance to win one of the different-sized trophies that are to be awarded to the first eight runners who finish.
(a) If 30 people enter the race, in how many ways will it be possible to award the trophies?
(b) If Roberta and Candice are two participants in the race, in how many ways can the trophies be awarded with these two runners among the top three?