6 runners compete in a race. In how many ways can the first 2 places be awarded?

Answer and explanation

Correct answer: D. 30

  1. Step 1: Order matters, so use permutations.
  2. Step 2: P(6,2) = 6! / 4! = 30.
Answer
30.
Why not the others: 15 ignores the order; 36 would allow the same runner to win several places; 720 orders all 6 runners.

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