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How to Get all Subsets of a Set in Python

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by Abdul Rawoof A R dot icon Updated: Jan 31, 2023

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A subset of a set is a smaller set that contains only elements in the larger set. The empty set is a subset of each set, and each set is a subset of itself. In Python, you can use the "itertools" library to find all subsets of a set. Specifically, you can use the "combinations" function to generate all subsets of a given size and then use a loop to generate subsets of all sizes. 

  • itertools: itertools is a Python module that provides several functions that work with iterators to perform efficient looping, chain multiple iterators together and filter elements from input iterators. Some of the commonly used functions in itertools include zip(), chain(), groupby(), islice(), permutations(), and combinations(). 
  • combination: The combinations() function in the itertools module generates all possible combinations of a given length (r) from an input iterable. The function takes two arguments: an iterable and an integer r. It gives back an iterator that creates tuples out of every combination of items from the input iterable, with each tuple's length being r. 


You may have a look at the code given below for creating subsets of a set in Python.  

Fig : Preview of the output that you will get on running this code from your IDE.

Code

python - all subsets of a set

PythondotLines of Code : 10dotLicense : Strong Copyleft (CC BY-SA 4.0)

def combos(x):
    if len(x) == 0:
        return []
    cs = combos(x[1:])
    return [(x[0],)] + [(x[0],) + c for c in cs] + cs

print(combos([1, 2, 3]))

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

Instructions

Follow the steps carefully to get the output easily.

  1. Install python on your IDE(Any of your favorite IDE).
  2. Copy the snippet using the 'copy' and paste it in your IDE.
  3. Run the file to generate the output.


I hope you found this useful.

I found this code snippet by searching for 'all subsets of a set in python' in kandi. You can try any such use case!

Environment Tested

I tested this solution in the following versions. Be mindful of changes when working with other versions.

  1. The solution is created in PyCharm 2021.3.
  2. The solution is tested on Python 3.9.7.


Using this solution, we are able to implement all subsets of a set in python with simple steps. This process also facilities an easy way to use, hassle-free method to create a hands-on working version of code which would help us to implement all subsets of a set in python.

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