If 10 people are in a race, how many ways can they place Gold, Silver and Bronze?

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.