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Back to 13.5 Counting Principles

13.5 Exercise 5

Avg difficulty 2.5

Solve counting problems using the multiplication principle.

  1. ⓐ Diane packed 2 skirts, 3 blouses, and 2 sweaters for her business trip. She will need to choose a skirt and a blouse for each outfit and decide whether to wear the sweater. Use the Multiplication Principle to find the total number of possible outfits.
  2. ⓑ A restaurant offers a lunch special that includes an entree, a main dish, and a beverage. There are 3 types of entrees, 4 main dish options, and 5 beverage choices. Find the total number of possible lunch specials.
  3. ⓒ Next semester you are going to take one science class, one math class, one history class and one english class. According to the schedule you have 4 different science classes, 3 different math classes, 2 different history classes, and 3 different English classes to choose from. Assuming no scheduling conflicts, how many different four-course selections can you make?
  4. ⓓ How many license plates consisting of 2 letters followed by 4 digits are possible?

OpenStax Algebra and Trigonometry 2e, 13.5 Counting Principles, exercise 5

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.