If A = {1, 2, 3} and B = {2, 3, 1}, which reason correctly proves that A and B are equal?
Answer and explanation
Correct answer: Both sets contain exactly the same elements
In a set, the order in which elements are written has no significance, and repeated listing does not create new elements. A contains 1, 2, and 3, and B contains exactly the same three elements. Therefore A = B because equality of sets depends on identical membership, not on order or appearance.
Frequently asked questions
What is the correct answer to this question?
Both sets contain exactly the same elements
Why is this the correct answer?
In a set, the order in which elements are written has no significance, and repeated listing does not create new elements. A contains 1, 2, and 3, and B contains exactly the same three elements. Therefore A = B because equality of sets depends on identical membership, not on order or appearance.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
