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What is the cardinality of each of these sets?a)

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

Solution for problem 19E Chapter 2.1

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 19E

What is the cardinality of each of these sets?

a) {a}

b) {{a}}

c) {a,{a}}

d) {a, {a}, {a. {a}}}

Step-by-Step Solution:
Step 1 of 3

Step1

To find

 We have to find what is the cardinality of  sets?

Step2

The cardinality of a set is a measure of a set’s size, which means the quantity of components in the set. For example, the set B=1,2,4 has a cardinality of 3, for the three components that are in it.

a) {a}

In the given set the quantity of component in the set is one.

Therefore, the cardinality of set is 1.

Step3

b)...

Step 2 of 3

Chapter 2.1, Problem 19E is Solved
Step 3 of 3

Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

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What is the cardinality of each of these sets?a)

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