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?
42 ways
14 ways
28 ways
56 ways
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.
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