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Subjects
Class 10MathematicsSetsThe Empty Set, Finite and Infinite Sets, Equal SetsEasyLevel 4

If A = {a,b,c} and B = {b,c,a,a}, how are A and B related?

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Answer and explanation

Correct answer: Equal sets

The elements of A are a, b, and c. In B, the repeated a is not counted as a separate element, so the distinct elements are also a, b, and c. Set equality depends on membership, not on order or repetition. Since A and B have exactly the same members, they are equal sets.

Tags

setsequal-setsrepeated-elementsfinite-setThe Empty SetFinite and Infinite SetsEqual Setsthe empty set finite and infinite sets equal setsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

Equal sets

Why is this the correct answer?

The elements of A are a, b, and c. In B, the repeated a is not counted as a separate element, so the distinct elements are also a, b, and c. Set equality depends on membership, not on order or repetition. Since A and B have exactly the same members, they are equal sets.

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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