Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 2 - Set Theory - 2.2 Subsets - Exercise Set 2.2 - Page 69: 97


There are 256 travel options.

Work Step by Step

The set of cities is: {New York City, Los Angeles, Miami, Chicago, Washington D.C., Houston, San Diego, Seattle} The number of ways to visit some, all, or none of these cities is equal to the number of subsets of the given set. A set of $n$ elements has $2^n$ subsets; therefore, the given set has: $2^8=256$ subsets. There are 256 travel options.
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.