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Power Set -- from Wolfram MathWorld

TOPICS Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology Alphabetical Index New in MathWorld Power Set Download Wolfram Notebook

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

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

See alsoAxiom of the Power Set

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Subset Explore with Wolfram|Alpha

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ReferencesVardi, I. Computational Recreations in Mathematica. Reading, MA: Addison-Wesley, 1991. Referenced on Wolfram|AlphaPower Set Cite this as:

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

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