Question

9 sprinters have made it to the Olympic finals in the 100-meter race. In how many different ways can the

gold, silver, and bronze medals be awarded?

Answer 1

There are 504 different ways in which the gold, silver, and bronze medals can be awarded in the 100-meter race.

Step-by-step explanation:

In a 100-meter race, there are 9 sprinters who can receive gold, silver, and bronze medals.

To determine the number of different ways the medals can be awarded, we use the concept of permutations.

Since each medal can only be awarded to one sprinter, we have 9 choices for the gold medal, 8 choices for the silver medal (after the gold medal is awarded), and 7 choices for the bronze medal (after both the gold and silver medals are awarded).

Therefore, the number of different ways the medals can be awarded is 9 × 8 × 7 = 504.