How Can I Generate All Combinations from a List of Lists in Python?

Combinations of Lists within Lists using Python

In order to obtain all combinations of elements from a list of lists, we can leverage Python's built-in itertools module. Specifically, the product function from this module offers a straightforward solution.

Using itertools.product

Consider the following example:

a = [[1,2,3],[4,5,6],[7,8,9,10]]

To generate all possible combinations of elements from these lists, we can use the following code:

import itertools

combinations = list(itertools.product(*a))

The output of this code will be:

[(1, 4, 7), (1, 4, 8), (1, 4, 9), (1, 4, 10),
 (1, 5, 7), (1, 5, 8), (1, 5, 9), (1, 5, 10),
 (1, 6, 7), (1, 6, 8), (1, 6, 9), (1, 6, 10),
 (2, 4, 7), (2, 4, 8), (2, 4, 9), (2, 4, 10),
 ...
 (3, 6, 8), (3, 6, 9), (3, 6, 10)]

The itertools.product function combines elements from the different lists in a Cartesian product manner, resulting in a list of all possible combinations. This approach is convenient and works effectively for any number of input lists.

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