In a race, there are 10 participants. In how many ways can the gold, silver, and bronze medals be awarded?
30 ways
10 ways
90 ways
720 ways
The gold medal can be awarded to any one of the 10 participants, so there are 10 choices for the gold medalist.
After the gold medalist is determined, there are 9 remaining participants who could receive the silver medal. Therefore, there are 9 choices for the silver medalist.
Finally, after the gold and silver medals are assigned, there are 8 remaining participants who could receive the bronze medal. Thus, there are 8 choices for the bronze medalist.
To find the total number of ways, we multiply the number of choices for each medal: 10 choices × 9 choices × 8 choices = 720 ways.
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