Back to The Multiplicative and Additive Principles

Exercise 2

Avg difficulty 2.5

For your college interview, you must wear a tie. You own 3 regular (boring) ties and 5 (cool) bow ties.

  1. How many choices do you have for your neck-wear?
  2. You realize that the interview is for clown college, so you should probably wear both a regular tie and a bow tie. How many choices do you have now?

  3. For the rest of your outfit, you have 5 shirts, 4 skirts, 3 pants, and 7 dresses. You want to select either a shirt to wear with a skirt or pants, or just a dress. How many outfits do you have to choose from?

Hammond, Discrete Math for Shockers, §5.1 The Multiplicative and Additive Principles, Exercise 2

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Adapted from Discrete Math for Shockers © 2021 John Hammond. Licensed under CC BY-SA 4.0. Source: Discrete Math for Shockers. Imported at revision 2538beb.