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7.2 Exercise 1

Avg difficulty 2.5

The final heat of Olympic swimming events features 8 swimmers (or teams of swimmers).

  1. How many different podium placements (first place, second place, and third place) are possible?
  2. How many different complete orders of finish (first place through eighth place) are possible?

OpenStax Contemporary Mathematics, 7.2 Permutations, exercise 1

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Adapted from Contemporary Mathematics © 2023 Rice University. Licensed under CC BY 4.0. Source: Contemporary Mathematics. Imported at revision fa7c1a1.