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Class 12MathematicsSetsEasyLevel 6
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If A = {1, 2, 2, 3, 3, 3}, what is n(A), the number of elements in 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 ignored, so the given set is equivalent to {1, 2, 3}. These are three distinct elements. Hence the cardinality n(A) is 3, making option A the only correct answer.

Related tags

SetsCardinalityDistinct ElementsFinite SetsMathematicsClass 12 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 ignored, so the given set is equivalent to {1, 2, 3}. These are three distinct elements. Hence the cardinality n(A) is 3, making option A the only correct answer.

Which subject and chapter does this question cover?

This is a Class 12 Mathematics question. Chapter: Sets.

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