Math, asked by shadmd595, 4 months ago

Define power set of a set A.​

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Answered by dupsdhyaya
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In mathematics, the power set (or powerset) of a set S is the set of all subsets of S, including the empty set and S itself.[1] In axiomatic set theory (as developed, for example, in the ZFC axioms), the existence of the power set of any set is postulated by the axiom of power set.[2] The powerset of S is variously denoted as P(S), (S),[3] P(S), ℙ(S), ℘(S) (using the "Weierstrass p"), or 2S. The notation 2S is used because given any set with exactly two elements, the powerset of S can be identified with the set of all functions from S into that set.[1]

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