What is the power set of the set {1, 2}?

Practice Questions

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

Questions & Step-by-Step Solutions

What is the power set of the set {1, 2}?
  • Step 1: Identify the original set. In this case, the set is {1, 2}.
  • Step 2: Count the number of elements in the set. There are 2 elements (1 and 2).
  • Step 3: Use the formula for the power set, which is 2 raised to the number of elements (n). Here, n = 2, so we calculate 2^2.
  • Step 4: Calculate 2^2, which equals 4. This means the power set will have 4 elements.
  • Step 5: List all possible subsets of the original set. The subsets are: the empty set (∅), the set containing just 1 ({1}), the set containing just 2 ({2}), and the set containing both elements ({1, 2}).
  • Step 6: Combine all the subsets into the power set. The power set is {∅, {1}, {2}, {1, 2}}.
No concepts available.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely