How Can I Generate All Subsets of a Set (Powerset) Using Python?

Generating All Subsets of a Set (Powerset)

Consider a set {0, 1, 2, 3}. How do we obtain all possible subsets of this set, known as its powerset?

One effective approach is to leverage Python's itertools module, which provides a convenient recipe for this task.

from itertools import chain, combinations

def powerset(iterable):
    "powerset([1,2,3]) --> () (1,) (2,) (3,) (1,2) (1,3) (2,3) (1,2,3)"
    s = list(iterable)
    return chain.from_iterable(combinations(s, r) for r in range(len(s)+1))

Upon executing powerset([1,2,3]), we obtain the following output:

>>> list(powerset([1,2,3]))
[(), (1,), (2,), (3,), (1,2), (1,3), (2,3), (1,2,3)]

With the empty tuple removed, we get:

>>> list(powerset([1,2,3]))[1:]
[(1,), (2,), (3,), (1,2), (1,3), (2,3), (1,2,3)]

To tailor the output to your specific needs, adjustments to the range statement can be made (e.g., range(1, len(s) 1) to exclude the empty tuple).

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