If A = {0, 1}, which of the following correctly represents P(A)?
Answer and explanation
Correct answer: {∅, {0}, {1}, {0, 1}}
The power set contains every subset of A, including the empty set and A itself. For A = {0,1}, the subsets are ∅, {0}, {1}, and {0,1}. Therefore P(A) = {∅, {0}, {1}, {0,1}}. Notice that 0 and 1 alone are elements of A, whereas {0} and {1} are subsets; the braces are essential in a power-set representation.
Frequently asked questions
What is the correct answer to this question?
{∅, {0}, {1}, {0, 1}}
Why is this the correct answer?
The power set contains every subset of A, including the empty set and A itself. For A = {0,1}, the subsets are ∅, {0}, {1}, and {0,1}. Therefore P(A) = {∅, {0}, {1}, {0,1}}. Notice that 0 and 1 alone are elements of A, whereas {0} and {1} are subsets; the braces are essential in a power-set representation.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
