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In a race, there are 8 participants from different countries. In how many ways can the gold, silver, and bronze medals be awarded if each medal must be won by a participant from a different country?

 

Option: 1

106 ways


Option: 2

336 ways


Option: 3

504 ways


Option: 4

720 ways


Answers (1)

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For the gold medal, there are 8 possible choices (one for each participant). Once the gold medalist is determined, there are 7 remaining participants from different countries who could receive the silver medal. After the silver medalist is determined, there are 6 remaining participants from different countries who could receive the bronze medal.

To find the total number of ways, we multiply the number of choices for each medal: 8 choices for the gold medal × 7 choices for the silver medal × 6 choices for the bronze medal = 336 ways.


 

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