Question

what is powerset in maths?​

Answer 1

Answer:

In mathematics, the power set of a set S is the set of all subsets of S, including the empty set and S itself. In axiomatic set theory, the existence of the power set of any set is postulated by the axiom of power set. The powerset of S is variously denoted as P(S), (S), P(S), ℙ(S), ℘, or 2S.

Answer 2

Answer:

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. ... 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.