If C = {1, 1, 2, 3, 3, 3} and D = {3, 2, 1}, which conclusion is correct?
Answer and explanation
Correct answer: C and D are equal sets
In a set, repeating an element does not create a new element. Hence C can be written as {1, 2, 3}. Set D contains the same three elements, written in a different order: {3, 2, 1}. Since set equality depends on having exactly the same elements, not on order or repetition, C = D. Therefore, option A is correct.
Frequently asked questions
What is the correct answer to this question?
C and D are equal sets
Why is this the correct answer?
In a set, repeating an element does not create a new element. Hence C can be written as {1, 2, 3}. Set D contains the same three elements, written in a different order: {3, 2, 1}. Since set equality depends on having exactly the same elements, not on order or repetition, C = D. Therefore, option A is correct.
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.
