The power set P(A) is the set of what?
Answer and explanation
Correct answer: All subsets of A
By definition, the power set P(A) is the collection whose elements are all subsets of A. It always contains the empty set and A itself, and it also contains every other possible subset. If A has n elements, P(A) has 2ⁿ elements. It is important not to confuse an element of A, such as a, with a subset of A, such as {a}.
Frequently asked questions
What is the correct answer to this question?
All subsets of A
Why is this the correct answer?
By definition, the power set P(A) is the collection whose elements are all subsets of A. It always contains the empty set and A itself, and it also contains every other possible subset. If A has n elements, P(A) has 2ⁿ elements. It is important not to confuse an element of A, such as a, with a subset of A, such as {a}.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
