Formula for Number of Elements in A union B
To find the number of elements in the set of A union B, we can use the following formula:
n(A U B) = n(A) + n(B) – n(A ∩ B)
Where,
- n(A U B) is the number elements in A U B,
- n(A) is the number of elements in A,
- n(B) is the number of elements in B, and
- n(A ∩ B) is the number of elements that are common to both A and B.
Note: n(A) or |A| is called the cardinality of the set A i.e., the number of elements set A contains.
Also Check: Intersection of Sets
Union of Sets
Union of Sets: The representation of similar types of data is called the set. Union of a set is the basic operation on the sets which is used to find all the entries of the given sets. It is one of the operators on the set used to solve the set theory problems. Union of two sets means finding a set containing all the values in both sets. It is denoted using the symbol ‘∪’ and is read as the union, i.e.
If A = {1,3.5.7} and B = {2,4,6,8} then A∪B is read as A union B and its value is,
A∪B = {1,2,3,4,5,6,7,8}
Thus, from the above example, it is clear that a set that contains all the elements of set A and set B is called the union of set A and B. In this article, we will learn about the union of sets, its definition, union of sets properties, union of sets formula, and how to find the Union of two or more sets.
Table of Content
- What is a Union of Sets?
- Union of Sets Definition
- How to Find Union of Sets?
- Union of Sets Symbol
- Union of Sets Formula – A U B
- Formula for Number of Elements in A union B
- Venn Diagram of Union of Sets
- Properties of Union of Sets
- Commutative Property
- Associative Property
- Identity Law (Property of Ⲫ)
- Property of Universal Set
- Idempotent Property
- Union of Sets Examples
- Practice Problems on Union of Sets
- Union of Sets Class 11
- Resources related to Union of Sets Class 11