×
×

# Show that the set of all finite subsets of the set of ISBN: 9780073383095 37

## Solution for problem 34E Chapter 2.SE

Discrete Mathematics and Its Applications | 7th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants Discrete Mathematics and Its Applications | 7th Edition

4 5 1 316 Reviews
11
4
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

##### ISBN: 9780073383095

Unlock Textbook Solution