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Class 10MathematicsSetsThe Empty Set, Finite and Infinite Sets, Equal SetsEasyLevel 16

If \(A=\{1,2,3\}\) and \(B=\{3,2,1\}\), what is \(A\cap B\)?

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Answer and explanation

Correct answer: \(\{1,2,3\}\)

The intersection consists of all elements that belong to both sets. The order is irrelevant in set notation, so \(B=\{3,2,1\}\) is the same set as \(\{1,2,3\}\). Every element 1, 2, and 3 is common to A and B. Therefore, \(A\cap B=\{1,2,3\}\), making option A correct.

Tags

setsintersectionequal-setsset-operationsThe 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?

\(\{1,2,3\}\)

Why is this the correct answer?

The intersection consists of all elements that belong to both sets. The order is irrelevant in set notation, so \(B=\{3,2,1\}\) is the same set as \(\{1,2,3\}\). Every element 1, 2, and 3 is common to A and B. Therefore, \(A\cap B=\{1,2,3\}\), making option A 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.

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