If G = {a, b, c} and H = {c, a, b, a}, which statement is correct about G and H?
Answer and explanation
Correct answer: G = H
A set is determined only by its distinct elements. The order in which elements are written does not affect the set, and repeating an element does not create a new member. After removing the repeated a from H and ignoring the order, H contains exactly a, b, and c, just like G. Therefore, G and H are equal, so option A is correct.
Frequently asked questions
What is the correct answer to this question?
G = H
Why is this the correct answer?
A set is determined only by its distinct elements. The order in which elements are written does not affect the set, and repeating an element does not create a new member. After removing the repeated a from H and ignoring the order, H contains exactly a, b, and c, just like G. Therefore, G and H are equal, so option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
