For A = {1, 1, 2, 3} and B = {3, 2, 1}, which conclusion is correct?
Answer and explanation
Correct answer: A = B
A set records membership, not the number of times an element is written. Thus the repeated 1 in the notation for A is counted only once, so A simplifies to {1,2,3}. The order of elements is also irrelevant, meaning B = {3,2,1} represents the same set {1,2,3}. Since both sets contain exactly the same distinct elements, A = B. Neither set is a proper subset of the other.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
A set records membership, not the number of times an element is written. Thus the repeated 1 in the notation for A is counted only once, so A simplifies to {1,2,3}. The order of elements is also irrelevant, meaning B = {3,2,1} represents the same set {1,2,3}. Since both sets contain exactly the same distinct elements, A = B. Neither set is a proper subset of the other.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
