Back to 7.3 Combinations

7.3 Exercise 1

Avg difficulty 2.5

For each of the following situations, decide whether the chosen subset is a permutation or a combination.

  1. A social club selects 3 members to form a committee. Each of the members has an equal share of responsibility.
  2. You are prompted to reset your email password; you select a password consisting of 10 characters without repeats.
  3. At a dog show, the judge must choose first-, second-, and third-place finishers from a group of 16 dogs.
  4. At a restaurant, the special of the day comes with the customer’s choice of 3 sides taken from a list of 6 possibilities.

OpenStax Contemporary Mathematics, 7.3 Combinations, 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.