Which option correctly lists all subsets of the set {1, 2}?
Answer and explanation
Correct answer: {∅, {1}, {2}, {1, 2}}
A set with two elements has 2² = 4 subsets. For {1, 2}, these are the empty set ∅, the singleton {1}, the singleton {2}, and the complete set {1, 2}. Option A lists all four and is therefore correct. Option B omits the empty and complete sets, option C lists only two subsets, and option D includes {3}, which contains an element not in the original set.
Frequently asked questions
What is the correct answer to this question?
{∅, {1}, {2}, {1, 2}}
Why is this the correct answer?
A set with two elements has 2² = 4 subsets. For {1, 2}, these are the empty set ∅, the singleton {1}, the singleton {2}, and the complete set {1, 2}. Option A lists all four and is therefore correct. Option B omits the empty and complete sets, option C lists only two subsets, and option D includes {3}, which contains an element not in the original set.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
