What is the power set of A = {a, b}?

Practice Questions

Q1
What is the power set of A = {a, b}?
  1. {∅, {a}, {b}, {a, b}}
  2. {a, b}
  3. {∅, {a, b}}
  4. {a, b, {a, b}}

Questions & Step-by-Step Solutions

What is the power set of A = {a, b}?
  • Step 1: Understand what a power set is. A power set is the set of all possible subsets of a given set.
  • Step 2: Identify the original set A. In this case, A = {a, b}.
  • Step 3: List all possible subsets of A. The subsets include: the empty set (∅), the set containing just 'a' ({a}), the set containing just 'b' ({b}), and the set containing both 'a' and 'b' ({a, b}).
  • Step 4: Combine all the subsets into one set. The power set of A is {∅, {a}, {b}, {a, b}}.
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