If A = {1, 2, 2, 3, 3, 3} and B = {3, 2, 1}, choose the correct statement about A and B.
Answer and explanation
Correct answer: A = B
In a set, an element is either present or absent; writing it more than once does not increase the set’s membership. Thus A simplifies to {1, 2, 3}. The order of elements is also irrelevant in set notation, so B = {3, 2, 1} represents the same set {1, 2, 3}. Hence A and B contain exactly the same elements and are equal.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
In a set, an element is either present or absent; writing it more than once does not increase the set’s membership. Thus A simplifies to {1, 2, 3}. The order of elements is also irrelevant in set notation, so B = {3, 2, 1} represents the same set {1, 2, 3}. Hence A and B contain exactly the same elements and are equal.
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.
