Question

the set of all possible subsets of a set is called​

Answer 1

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.

Answer 2

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 (see this[note 1] footnote for their LaTeX markup). 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]