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: 81

Answer

false

Work Step by Step

The set of subsets of {a, e, i, o, u} contains 64 elements The above statement is false. The number of subsets of a finite set can be found using the formula $2^{n}$ where n is the number of elements of the set. Since the given set has 5 elements, then it has $2^{5}$ = 32 subsets.
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