(a) 65 athletes are running a race. A gold medal is to be given to the winner, a silver medal is to be given to the second-place finisher, and a bronze medal is to be given to the third-place...

Extracted text: (a) 65 athletes are running a race. A gold medal is to be given to the winner, a silver medal is to be given to the second-place finisher, and a bronze medal is to be given to the third-place finisher. Assume that there are no ties. In how many possible ways can the 3 medals be distributed? (b) A pizza parlor has a choice of 11 toppings for its pizzas. From these 11 toppings, how many different 8-topping pizzas are possible?