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There were students running in a race. How many different arrangements of first, second, and third place are possible?Answer:
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Q. There were students running in a race. How many different arrangements of first, second, and third place are possible?Answer:
- Permutation Problem: We need to calculate the number of ways to choose the first, second, and third place winners from students. This is a permutation problem because the order matters.
- First Place Selection: For the first place, there are possible students who could win.
- Second Place Selection: After the first place is chosen, there are students left for the second place.
- Third Place Selection: Finally, for the third place, there are students remaining to choose from.
- Total Arrangements Calculation: To find the total number of different arrangements, we multiply the number of choices for each position: (for first place) (for second place) (for third place).
- Product Calculation: Calculating the product: .
