Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 11 - 11.6 - Counting Principles - 11.6 Exercises - Page 823: 17



Work Step by Step

As we are required to calculate the ways to select courses, and order does matter, we need to use both permutations and combinations. Since the order of classes matters, there are ($3_{P_{3}}$) ways to order the 3 different types of classes. There are also ($2_{C_{1}}$) ways to choose math, ($3_{C_{1}}$) ways to choose science, and ($5_{C_{1}}$) to choose social studies. Hence the ans = $3_{P_{3}}$*$2_{C_{1}}$*$3_{C_{1}}$*$5_{C_{1}}$ = 6*2*3*5=180
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.