Part A. There are $15$ skaters in the Olympic women's competition, including $4$ Americans. The gold medal goes to first place, silver to second, and bronze to third. In how many ways can the medals be awarded to three of the $15$ skaters? Part B There are $15$ skaters in the Olympic women's competition, including $4$ Americans. The gold medal goes to first place, silver to second, and bronze to third. In how many ways can the medals be awarded to three of the $15$ skaters, if exactly one of the Americans wins a medal?
Part B. There are skaters in the Olympic women's competition, including Americans. The gold medal goes to first place, silver to second, and bronze to third. In how many ways can the medals be awarded to three of the skaters, if exactly one of the Americans wins a medal?
