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In a race with eight swimmers, how many different orders of finish are possible for the first four positions?​

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Given

  • Total number of items (n) = 8
  • Number of items being chosen (r) = 4

P (n,r) = n! / (n - r)!

P (8,4) = 8! / (8 - 4)!

P (8,4) = 8! / 4!

P (8,4) = 8 • 7 • 6 • 5 • 4! / 4!

P (8,4) = 8 • 7 • 6 • 5

P (8,4) = 1680 orders

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