Functional Python Programming

Generating all combinations

The itertools module also supports computing all combinations of a set of values. When looking at combinations, the order doesn't matter, so there are far fewer combinations than permutations. The number of combinations is often stated as . This is the number of ways that we can take combinations of r things at a time from a universe of p items overall.

For example, there are 2,598,960 5-card poker hands. We can actually enumerate all 2 million hands by executing the following command:

hands = list(combinations(tuple(product(range(13), '♠♥♦♣')), 5))

More practically, we have a dataset with a number of variables. A common ...