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: 93

Answer

There are 32 options for purchasing a house in Euclid Estates.

Work Step by Step

{pool, screened-in balcony, lake view, alarm system, upgraded landscaping} As a person may purchase a house that contains any combination of the given options, including none or all the options, the number of options is going to be equal to the number of subsets. A set of $n$ elements has $2^n$ subsets; therefore, our set has: $2^5=32$ subsets. There are 32 options for purchasing a house in Euclid Estates.
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