The power set of A is the set of all subsets of A.
What Is Power Set?
The power set of A is the set of all subsets of A.
Examples of Power Set
1
P({a,b}) = {∅,{a},{b},{a,b}}.Formula and Key Points
Formula / rule
|P(A)| = 2^|A|
- Know the definition and standard notation for Power Set.
- Be able to recognise or compute power set in a small example.
- Connect the concept to nearby topics in the same subject before using it in larger CSE problems.
Why This Matters in Computer Science
Used in databases, data structures, automata, logic, query operations, permissions and discrete mathematics. Appears in subset enumeration, feature selection and exponential-time search spaces.
Related Math Terms
Power Set: Frequently Asked Questions
What is Power Set?
The power set of A is the set of all subsets of A.
Why is Power Set useful in computer science?
Used in databases, data structures, automata, logic, query operations, permissions and discrete mathematics. Appears in subset enumeration, feature selection and exponential-time search spaces.