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: 82

Answer

false

Work Step by Step

The set of subsets of {a, b,c,d,e,f} contains 128 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 6 elements, then it has $2^{6}$ = 64 subsets.
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