Thinking Mathematically (6th Edition)

Published by Pearson

Chapter 2 - Set Theory - 2.2 Subsets - Concept and Vocabulary Check - Page 67: 4

Answer

$2^{n}$

Work Step by Step

The number of distinct subsets of a set with n elements is $2^{n}$. The power of 2 is the same as the number of elements in the set. Using inductive reasoning, if the set contains n elements, then the number of subsets that can be formed is $2^{n}$.

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