# Cartesian Product Calculator

## Enter Sets below:

<-- Set A
<-- Set B

### How does the Cartesian Product Calculator work?

Given a Set A and Set B, this calculates the Cartesian Product A × B
This calculator has 2 inputs.

### What 1 formula is used for the Cartesian Product Calculator?

1. The cartesian product, A x B is the set of all possible ordered pairs (a, b)

For more math formulas, check out our Formula Dossier

### What 7 concepts are covered in the Cartesian Product Calculator?

cardinality
a measure of the number of elements of the set
cartesian
a plane is a coordinate system that specifies each point uniquely by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular oriented lines, measured in the same unit of length
cartesian product
the product of two sets: the product of set X and set Y is the set that contains all ordered pairs ( x, y ) for which x belongs to X and y belongs to Y
A x B
element
an element (or member) of a set is any one of the distinct objects that belong to that set. In chemistry, any substance that cannot be decomposed into simpler substances by ordinary chemical processes.
ordered pair
A pair of numbers signifying the location of a point
(x, y)
product
The answer when two or more values are multiplied together
set
a collection of different things; a set contains elements or members, which can be mathematical objects of any kind