# Cartesian Product

## Preliminaries

# import pandas as pd import pandas as pd

## Create Data

# Create two lists i = [1,2,3,4,5] j = [1,2,3,4,5]

## Calculate Cartesian Product (Method 1)

# List every single x in i with every single y (i.e. Cartesian product) [(x, y) for x in i for y in j]

[(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5)]

## Calculate Cartesian Product (Method 2)

# An alternative way to do the cartesian product # import itertools import itertools # for two sets, find the the cartisan product for i in itertools.product([1,2,3,4,5], [1,2,3,4,5]): # and print it print(i)

(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (5, 1) (5, 2) (5, 3) (5, 4) (5, 5)

### Find an error or bug?

Everything on this site is available on GitHub. Head to and submit a suggested change. You can also message me directly on Twitter.