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

If A = {1, 2, 2, 3, 3, 3}, what is the value of n(A)?

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Answer and explanation

Correct answer: 3

A set records membership, not the number of times an element is written. Repeated occurrences of 2 and 3 are counted only once. Thus the given set is equivalent to {1, 2, 3}. It has three distinct elements, so its cardinality, denoted by n(A), is 3. Therefore, option A is correct.

Tags

setscardinalityrepeated-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?

3

Why is this the correct answer?

A set records membership, not the number of times an element is written. Repeated occurrences of 2 and 3 are counted only once. Thus the given set is equivalent to {1, 2, 3}. It has three distinct elements, so its cardinality, denoted by n(A), is 3. Therefore, 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.

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