Learn and know **what are finite sets** and how to define them which comes under classifications of sets. For learning the **definition of finite sets** it’s enough to know what is the meaning of the finite.

What is the** meaning of the finite**? To know the meaning no need of mathematics. You can get the meaning of that in any dictionary. The meaning of the word finite is “limited” or also called as “countable”. I think after knowing the meaning of finite, you can imagine what are the finite sets?

**Finite sets definition as follows:**

In any given sets, if there are a limited number of elements/objects or countable number of elements/objects then that sets are called as** finite sets**. Opposite to this definition, we can write **infinite sets definition**.

Examples:

C = {1, 5, 7, 10, 4, 2}

In the set C, we have only six elements, it means that set C has a limited or countable number of elements. So set C is a finite set.

D = {x: x = 5n, n∈N, n<4}

Set D is given in set builder form or rule form, so first we need to it in list form. After listing all the elements in set D we can easily say whether it is **finite set** or not.

D = {5, 10, 15}, according to the given conditions in set D, we get three elements. As it contains limited number of elements so it is called as **finite set.**

G is the set of prime numbers which are less than 1000. Can you say what kind of set G is? As the prime numbers less than 1000 are countable so set G is a **finite set**.

If U is given as the set of all the stars in the sky. As the stars are not possible to count so it is not a finite set.

Hope you have understood the **finite sets definition** and related examples.

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