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Which of the following pairs represents equal sets?

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Answer and explanation

Correct answer: A = {1, 2, 3}, B = {3, 2, 1, 2}

Two sets are equal when they contain exactly the same distinct elements; the order of listing and repetition do not matter. In option A, A contains 1, 2, and 3, while B also contains the same distinct elements because the repeated 2 is counted only once. Thus A = B. Every other option has at least one different or additional element.

Tags

setsequal setsduplicate elementsroster formSets and their representationsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

A = {1, 2, 3}, B = {3, 2, 1, 2}

Why is this the correct answer?

Two sets are equal when they contain exactly the same distinct elements; the order of listing and repetition do not matter. In option A, A contains 1, 2, and 3, while B also contains the same distinct elements because the repeated 2 is counted only once. Thus A = B. Every other option has at least one different or additional element.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.

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