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Show that the set of all finite subsets of the set of

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 34E Chapter 2.SE

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 34E

Show that the set of all finite subsets of the set of positive integers is a countable set.

Step-by-Step Solution:

Solution :Step 1:In this problem, we have to show that the set of all finite subset of the set of a positive integer is countable.Step 2:The definition of the countable set:Now a set S is countable if there exists an injective function f : SN, (where N is the set of natural number).That is a countable set is a set with the same cardinality (number of elements) as some subset of the set of natural numbers.

Step 3 of 3

Chapter 2.SE, Problem 34E is Solved
Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

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Show that the set of all finite subsets of the set of

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