數學 上，集合的 冪集 （英語： power set），定義為由該集合全部 子集 為元素構成的集合。 給定集合 ，其冪集 （或作 ）以符號表示即為 。 在 公理集合論 （例如 ZFC集合論）中， 冪集公 …

A Power Set is a set of all the subsets of a set. For the set a,b,c: The empty set is a subset of a,b,c. And these are subsets:

Power Set - Power set is the set containing all the subsets of a given set along with the empty set. It is denoted as P (S) for a set 'S'. Learn about its definition, cardinality, properties, proof along …

Jul 23, 2025 · In order to define a power set, we can simply say that a power set is simply a set that contains all the subsets of the original set, including the null or empty set.

In set theory, the power set of a set is the collection of all possible subsets of the set. It is denoted as P (S) or 2 S, where S is the original set.

In set theory, the power set (or power set) of a Set A is defined as the set of all subsets of the Set A including the Set itself and the null or empty set. It is denoted by P (A).

Oct 28, 2025 · A power set is a collection of all possible subsets, including the empty set, and the original set. It is denoted with the letter P. Cardinality refers to the number of elements in a set.

Jul 18, 2025 · A power set of a set S is the collection of all possible subsets of S, including the empty set ∅ and S itself. Learn everything about power sets in mathematics: formal definition, …

Power set is the set of all subsets of a given set. Explore the definition and properties of a power set along with solved examples, practice problems, & more.

In set theory, the power set of a given set can be understood as the set of all subsets of any set, say X including the set itself along with the null/ empty set.