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Five students are running a race. How many different ways can they come in first, second, third, fourth, and fifth?Answer:
Full solution
Q. Five students are running a race. How many different ways can they come in first, second, third, fourth, and fifth?Answer:
- Choose first place: After choosing the first place, there are students left for the second place.
- Select second place: For the third place, there are now students left to choose from.
- Pick third place: For the fourth place, there are students left.
- Choose fourth place: Finally, for the fifth place, there is only student left.
- Select fifth place: To find the total number of different ways they can come in, we multiply the number of choices for each position: .
- Calculate total ways: Calculating the product: .
- Find total ways: So, there are different ways the five students can finish the race in order.
