This document defines and provides examples of different types of sets. It discusses finite and infinite sets, equal sets, empty sets, power sets, universal sets, and Venn diagrams. Finite sets can be counted, while infinite sets cannot. Two sets are equal if they contain the same elements. An empty set contains no elements. A power set contains all possible subsets of a set. A universal set contains all elements being considered. A Venn diagram visually depicts the logical relations between different sets.

1. Mehedi Hasan Shanto
ID:B180201032
Merit:122

2. Theory of sets
Set: Set is a collection of well defined and
well distinguished of objects.
The following are some examples of sets:
The collection of vowels in English alphabets .
The collection of past presidents of the India union.
The weights of all students of a class.

4. Types of sets
Finite set: when the elements of a set can be count by finite number elements then
the set is called a finite set.
Example:{1,2,3,4,5,} , {1,2,3,4,5,……..up to 100}
Infinite: if the elements of set can not be counted in a finite number the set is called
an infinite set.
Example:{1,2,3,4,5……….infinite}
Equal sets: Two sets A and B are said to be equal if every element of A is also an
element of B, and every element of B is also an element of A.
We can write A=B
Empty set: Any set which has no element in it is called an empty set.
Example:{ }

5. Types of sets
Power set: from a set containing n element ,2n subsets can be formed . The
set consisting of these 2n subsets is called a power set.
Example: If A= {a,b}
P(S)=[{a},{b},{a,b},{ }]
Universal set: The set containing all elements or objects and of which all
other sets are subsets.
Symbol : U
Venn Diagram: A ven diagram is a diagram
That shows all possible logical relations
Between a finite collection of different sets.