Which option shows that changing the order of elements does not change a set?
Answer and explanation
Correct answer: {p, q, r} = {r, p, q}
In a set, the order in which elements are written is irrelevant. The sets {p, q, r} and {r, p, q} both contain exactly the same elements: p, q, and r. Therefore, they are equal. Option B is false because the second set has one additional element, option C is false because {0} contains 0 whereas the empty set contains nothing, and option D is false because the elements are different.
Frequently asked questions
What is the correct answer to this question?
{p, q, r} = {r, p, q}
Why is this the correct answer?
In a set, the order in which elements are written is irrelevant. The sets {p, q, r} and {r, p, q} both contain exactly the same elements: p, q, and r. Therefore, they are equal. Option B is false because the second set has one additional element, option C is false because {0} contains 0 whereas the empty set contains nothing, and option D is false because the elements are different.
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.
