If A = {1, 2, 3} and B = {1, 2, 2, 3, 3, 3}, which statement is correct?
Answer and explanation
Correct answer: A = B
In ordinary set theory, repeated listings of an element do not create new elements. Thus B simplifies to {1, 2, 3}, which is exactly A. The sets have the same distinct elements, so A = B. Repetition would matter in a list or multiset, but not in a standard set.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
In ordinary set theory, repeated listings of an element do not create new elements. Thus B simplifies to {1, 2, 3}, which is exactly A. The sets have the same distinct elements, so A = B. Repetition would matter in a list or multiset, but not in a standard set.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.