Finite and Infinite Sets
Let’s compare the differences between the Finite and Infinite sets in the following table:
|
Finite Set |
Infinite Set |
|---|---|
| Finite sets are countable. | Infinite sets can be countable or uncountable. |
| A subset of a finite set will always be finite. | A subset of an infinite set may be finite or infinite. |
| The power set of a finite set will always be finite. | The power set of an infinite set is infinite. |
| The union of two finite sets is finite. | The union of two infinite sets is infinite. |
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Example:
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Example:
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Also, Read
Finite Sets
Finite set is a collection of finite, well-defined elements. For better understanding, imagine you have a bunch of your favourite toys or snacks. You know exactly how many you have, that’s the idea of a finite set in math. A finite set is a way to discuss collections of things you can count. In this article, we will discuss the concept of finite sets and their properties. We will also understand the difference between finite sets and infinite sets with the help of examples for a better understanding.
Table of Content
- What is Finite Set?
- Example of Finite Set
- Cardinality of Finite Set
- Properties of Finite Sets
- Finite and Infinite Sets