If A = {a, b, c, d} and B = {d, c, b, a, a}, how are A and B related?
Answer and explanation
Correct answer: Equal sets
The governing concept is equality of sets. In a set, the order of elements has no significance, and repeating an element does not create an additional distinct member. Therefore B simplifies to {a, b, c, d}, exactly the same collection as A. The sets are equal, so option A is correct. Option B wrongly treats order or repetition as important, while C and D misclassify a set with four distinct elements.
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What is the correct answer to this question?
Equal sets
Why is this the correct answer?
The governing concept is equality of sets. In a set, the order of elements has no significance, and repeating an element does not create an additional distinct member. Therefore B simplifies to {a, b, c, d}, exactly the same collection as A. The sets are equal, so option A is correct. Option B wrongly treats order or repetition as important, while C and D misclassify a set with four distinct elements.
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.
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