## Thinking Mathematically (6th Edition)

Published by Pearson

# Chapter 2 - Set Theory - 2.2 Subsets - Exercise Set 2.2 - Page 70: 103

#### Answer

The formula is $2^n$ . For example, the set {A, B, C} has $2^3=8$ subsets.

#### Work Step by Step

The formula for finding the number of distinct subsets for a given set with $n$ distinct elements is: $2^n$ An example would be: {A, B, C} The subsets are: {A, B, C} {A, B} {A, C} {B, C} {A} {B} {C} {} There are 8 of them. The set has 3 elements. $2^3=8$

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