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: 62

Answer

Total number of proper subsets are = 16 - 1 = 15

Work Step by Step

{\frac{1}{2},\frac{1}{3},\frac{1}{4},\frac{1}{5}} A set of n elements have 2^{n} number of subsets. Here set has 4 elements. So total number of subsets sre 2^{4}=16 As these 16 subsets also include the one subset which is the set itself. We need to exclude this one subset. Thus Total number of proper subsets are = 16 - 1 = 15.
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