## Thinking Mathematically (6th Edition)

Published by Pearson

# Chapter 2 - Set Theory - 2.2 Subsets - Exercise Set 2.2: 63

#### Answer

Total number of proper subsets are = 64 - 1 = 63

#### Work Step by Step

{2,4,6,8,10,12} A set of n elements have 2^{n} number of subsets. Here set has 6 elements. So total number of subsets are 2^{6}=64. As these 64 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 = 64 - 1 = 63.

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