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Class 12MathematicsSetsEasyLevel 15
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In a Venn diagram, 24 elements are only in A, 31 are only in B, and 16 are in both A and B. What is n(A ∪ B)?

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Answer and explanation

Correct answer: 71

The union contains every element that is in A or in B, including the common region. The three given Venn regions are disjoint: only A has 24 elements, only B has 31, and A ∩ B has 16. Therefore, n(A ∪ B) = 24 + 31 + 16 = 71. We add the common region once, not twice, so option C is correct.

Related tags

SetsVenn DiagramsUnionCardinalityMathematicsClass 12 Mcq

Frequently asked questions

What is the correct answer to this question?

71

Why is this the correct answer?

The union contains every element that is in A or in B, including the common region. The three given Venn regions are disjoint: only A has 24 elements, only B has 31, and A ∩ B has 16. Therefore, n(A ∪ B) = 24 + 31 + 16 = 71. We add the common region once, not twice, so option C is correct.

Which subject and chapter does this question cover?

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

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