If A = {1, 2, {3}}, which set is equal to A?
Answer and explanation
Correct answer: {2, {3}, 1}
A set is unchanged when the order of its elements is rearranged. Therefore, {2, {3}, 1} contains exactly the same three elements as A: 1, 2, and the set {3}; hence it equals A. Notice that 3 and {3} are different objects, so option B is not equal to A. Options C and D also change the nesting or the elements.
Frequently asked questions
What is the correct answer to this question?
{2, {3}, 1}
Why is this the correct answer?
A set is unchanged when the order of its elements is rearranged. Therefore, {2, {3}, 1} contains exactly the same three elements as A: 1, 2, and the set {3}; hence it equals A. Notice that 3 and {3} are different objects, so option B is not equal to A. Options C and D also change the nesting or the elements.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.
