# Cartesian product of two sets.

**Cartesian Product:**

The Cartesian Product of two sets A and B is the set of all Ordered Pairs (a,b) where the first element of order pairs “a” belongs to first set “A” and second element of ordered pairs “b” belongs or second set “B”.

Or a∈A and b∈B

Note: Cartesian product of set A and B is not equal to Cartesian product of set B and A.

**Denotation of Cartesian product: **

Cartesian product of sets “A” and “B” is denoted by :

A×B

And Cartesian product of sets “B” and “A” is denoted by:

B×A

For example:

If set A={1,2} and set B={4,5}

Then,

A×B=[ {1,4} , {1,5} , {2,4} , {2,5} ]

And

B×A=[ {4,1} , {4,2} , {5,1} , {5,2} ]

Note: If “m” is the number of elements in set “A” and “n” is number of elements in set “B” then the numbers of elements of A×B and B×A is m×n

For example:

If set A have 2 elements and Set B have 3 elements the the number of elements that A×B and B×A have is 3×2=6.

Related posts:

- Relation between sets. If , in any condition two or more sets appears...
- Ordered pairs. A pair or set which have only two elements in...
- Set Operations. The Process of making or new sets from two...
- Introduction to Set Theory The concept of modern mathematics is started with set....
- Venn diagram Euler venn diagram or simply venn diagram is a graphical...