Which subsets belong to the power set P({m, n})?
Answer and explanation
Correct answer: {∅, {m}, {n}, {m, n}}
The set {m, n} has two elements. Every element may either be selected or not selected when forming a subset, so the number of subsets is 2² = 4. They are the empty set ∅, the singleton sets {m} and {n}, and the complete set {m, n}. Therefore, the power set is P({m, n}) = {∅, {m}, {n}, {m, n}}, making option A correct.
Frequently asked questions
What is the correct answer to this question?
{∅, {m}, {n}, {m, n}}
Why is this the correct answer?
The set {m, n} has two elements. Every element may either be selected or not selected when forming a subset, so the number of subsets is 2² = 4. They are the empty set ∅, the singleton sets {m} and {n}, and the complete set {m, n}. Therefore, the power set is P({m, n}) = {∅, {m}, {n}, {m, n}}, making option A correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
