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1) Define power set of a set.

Answer»

In mathematics, thepower set(orpowerset) of anysetS is thesetof all subsets of S, including the emptysetand S itself, variously denoted as P(S), 𝒫(S), ℘(S) (using the "Weierstrass p"), P(S), ℙ(S), or, identifying thepowersetof S with thesetof all functions from S to a givensetof two elements, 2S.

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