Discover the power set of any given set with our easy-to-use Power Set Calculator. This essential set theory tool generates all possible subsets, including the empty set and the set itself, helping you understand combinatorial possibilities and discrete mathematics concepts instantly. Simply enter your set elements and see the results!
Formula:
A power set, denoted as P(S) or 2S, is the set of all possible subsets of a given set S. If a set S has n distinct elements, then its power set P(S) will contain exactly 2n subsets.
- S: The original set whose power set is to be calculated.
- n: The number of distinct elements in the set S.
- 2n: The total number of subsets in the power set P(S).