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Power Set


Given a set S, the power set of S, sometimes also called the powerset, is the set of all subsets of S. The order of a power set of a set of order n is 2^n. Power sets are larger than the sets associated with them. The power set of S is variously denoted 2^S or P(S).

The power set of a given set s can be found in the Wolfram Language using Subsets[s].


See also

Axiom of the Power Set, Set, Subset

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References

Vardi, I. Computational Recreations in Mathematica. Reading, MA: Addison-Wesley, 1991.

Referenced on Wolfram|Alpha

Power Set

Cite this as:

Weisstein, Eric W. "Power Set." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PowerSet.html

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