Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 2 - Set Theory - Chapter Summary, Review, and Test - Review Exercises - Page 109: 32


The number of subsets = 7

Work Step by Step

{X | X is a month that begins with letter 'J' } We know that only months January, June, July are the months that begins with J. So, the set = {January, June, July}, which contains 3 elements. We know that, If set contains n elements then number of subsets are 2^{n}, and among them 2^{n} - 1 are the proper subsets. Therefore the number of subsets = 2^{3} - 1 = 8 - 1 = 7.
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