three prizes? The producers of “Dancing with the Stars” decide to offer prizes to the top three finishers of the next season. The third place finisher receives free dance attire, the runner up receives free dance lessons for a year from the professional of his/her choice, and the first place winner wins a contract to represent “Dancing with the Stars” on cruise lines around the world, including a handsome salary. Assuming that the show starts with 16 competitors, how many ways can you award the first, second, and third place prizes?