Which set is equal to P({m, n})?
Answer and explanation
Correct answer: {∅, {m}, {n}, {m, n}}
The power set contains every subset of the original set, including the empty subset, both singleton subsets, and the original two-element set. Therefore, P({m,n}) = {∅, {m}, {n}, {m,n}}. The braces are important: m and n alone are elements, whereas {m} and {n} are singleton subsets. Thus option B lists all four subsets correctly.
Frequently asked questions
What is the correct answer to this question?
{∅, {m}, {n}, {m, n}}
Why is this the correct answer?
The power set contains every subset of the original set, including the empty subset, both singleton subsets, and the original two-element set. Therefore, P({m,n}) = {∅, {m}, {n}, {m,n}}. The braces are important: m and n alone are elements, whereas {m} and {n} are singleton subsets. Thus option B lists all four subsets correctly.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
