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: 97

Answer

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.
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