If 10 people are in a race, how many ways can they place Gold, Silver and Bronze?
Question
If 10 people are in a race, how many ways can they place Gold, Silver and Bronze?
Solution
To solve this problem, we use the concept of permutations in combinatorics.
Step 1: Determine the number of ways to award the gold medal. There are 10 people in the race, so there are 10 possible ways to award the gold medal.
Step 2: Determine the number of ways to award the silver medal. After the gold medal has been awarded, there are only 9 people left, so there are 9 possible ways to award the silver medal.
Step 3: Determine the number of ways to award the bronze medal. After the gold and silver medals have been awarded, there are only 8 people left, so there are 8 possible ways to award the bronze medal.
Step 4: Multiply the number of ways to award each medal to find the total number of possible outcomes. So, 10 (gold) * 9 (silver) * 8 (bronze) = 720 possible ways to award the medals.
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