There are different types of sets.
| 1. Empty set | 7. Infinite set |
| 2. Power set | 8. Singleton set |
| 3. Superset | 9. subset |
| 4. Equal set | 10. Proper set |
| 5. Equivalent set | 11. Improper set |
| 6. Finite set | 12. Universal set |
Empty Set
A set does not have an element called an empty set. It is denoted by {} or ϕ.
Example 1:
X={x: x is a vowel between o and u}
As we that there is no vowel between o and u.
Therefore X is empty.
Finite set
A set having a finite number of elements is called a finite set. Finite mean countable.
Example:
X = { x | x ∈ N and 20 > x > 10 }
Infinite Set
A set having an infinite number of elements is called an infinite set. Infinite means are uncountable.
Example
Y= { x | x ∈ W and x > 70 }
Subset:
A set X is a subset of Y if set X is contained in set Y. The set is written as X\subseteq Y . All the elements of set X contain in set Y.
Example
Suppose A={3,6,9,12,15} , B={3,6}
We can say
B\subseteq A
Because all the elements of set B contain in set A.
Power Set
Suppose X be a set, the set of all the possible subsets of a set x is called the power set of X . It is denoted by P(X). We can find the number of subsets by using 
.
X ={1,2}
By using we find the number of subsets. In this set, the number of subsets is 4.