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  • In a race, there are 8 participants. In how many ways can the gold, silver, and bronze medals be awarded if the same person cannot win more than one medal? &nbs

In a race, there are 8 participants. In how many ways can the gold, silver, and bronze medals be awarded if the same person cannot win more than one medal?

 

Option: 1

336 ways


Option: 2

420 ways


Option: 3

504 ways


Option: 4

720 ways


Answers (1)

best_answer

For the gold medal, there are 8 possible choices (one for each participant). Once the gold medalist is determined, there are 7 remaining participants who could receive the silver medal. However, we need to ensure that the gold medalist does not win another medal, so there are 7 choices for the silver medalist.

After the gold and silver medals are assigned, there are 6 remaining participants who could receive the bronze medal. Similarly, we need to make sure that the gold and silver medalists do not win another medal, so there are 6 choices for the bronze medalist.

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.

 

Posted by

avinash.dongre

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