Which statement is true for the sets {a, b} and {b, a, a}?
Answer and explanation
Correct answer: They are equal sets
In a set, each element is listed only once; repetition does not create a new element. Therefore, {b, a, a} has the same distinct elements as {a, b}, namely a and b. The order of elements also does not matter in a set. Hence both sets contain exactly the same elements and are equal. Option A is correct.
Frequently asked questions
What is the correct answer to this question?
They are equal sets
Why is this the correct answer?
In a set, each element is listed only once; repetition does not create a new element. Therefore, {b, a, a} has the same distinct elements as {a, b}, namely a and b. The order of elements also does not matter in a set. Hence both sets contain exactly the same elements and are equal. 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.
