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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 first-place winner is predetermined and the remaining participants compete for the silver and bronze?

 

Option: 1

42 ways


Option: 2

14 ways


Option: 3

28 ways


Option: 4

56 ways


Answers (1)

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To solve this, we need to consider the number of ways to arrange the remaining participants for the silver and bronze medals, given that the first-place winner is predetermined.

Since the first-place winner is already determined, there are 7 remaining participants who can compete for the silver medal. Once the silver medalist is determined, there are 6 remaining participants who can compete for the bronze medal.

To find the total number of ways, we multiply the number of choices for each medal: 7 choices for the silver medal × 6 choices for the bronze medal = 42 ways.

 

Posted by

himanshu.meshram

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