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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:

Five students are running a race. How many different ways can they come in first, second, third, fourth, and fifth?\newlineAnswer:

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Full solution

Q. Five students are running a race. How many different ways can they come in first, second, third, fourth, and fifth?\newlineAnswer:
  1. Choose first place: After choosing the first place, there are 44 students left for the second place.
  2. Select second place: For the third place, there are now 33 students left to choose from.
  3. Pick third place: For the fourth place, there are 22 students left.
  4. Choose fourth place: Finally, for the fifth place, there is only 11 student left.
  5. Select fifth place: To find the total number of different ways they can come in, we multiply the number of choices for each position: 5×4×3×2×15 \times 4 \times 3 \times 2 \times 1.
  6. Calculate total ways: Calculating the product: 5×4×3×2×1=1205 \times 4 \times 3 \times 2 \times 1 = 120.
  7. Find total ways: So, there are 120120 different ways the five students can finish the race in order.

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