In the Olympic women's skating competition, the gold medal goes to first place, silver to second, and bronze to third. If there are $3$ skaters, including $3$ Americans, in how many ways can the medals be awarded to three of the $3$ skaters if exactly one of the Americans wins a medal?

tomtom Feb 13, 2024

#1**+3 **

If there are 3 skaters, including 3 Americans, in how many ways can the medals be awarded to three of the 3 skaters if exactly one of the Americans wins a medal...

As you can see, there are only three competitors of which all are American, so assuming none get disqualified and complete it, we will have 3 winners, each American, so the question conradicts itself saying that only exactly one American can win a medal...

0 ways.

proyaop Feb 13, 2024