Power set

mathematical set containing all subsets of a given set

In mathematics, the power set of a set S, written as or ,[1] is the set of all subsets of S. In terms of cardinality, a power set is larger than the set it originates from. If S is a finite set with n elements, then would have elements.[2][3]


  • The power set of   is  .
  • The power set of   is  .

Related pagesEdit


  1. "Comprehensive List of Set Theory Symbols". Math Vault. 2020-04-11. Retrieved 2020-09-05.
  2. Weisstein, Eric W. "Power Set". mathworld.wolfram.com. Retrieved 2020-09-05.
  3. "Power Set". www.mathsisfun.com. Retrieved 2020-09-05.