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Class 10MathematicsSetsVenn DiagramsEasyLevel 10

If A ∩ B = ∅, n(A) = 6, and n(B) = 11, what is n(A ∪ B)?

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Answer and explanation

Correct answer: 17

Since A ∩ B = ∅, the sets are disjoint and have no common elements. For disjoint finite sets, the cardinality of the union is the sum of their cardinalities: n(A ∪ B) = n(A) + n(B) = 6 + 11 = 17. Hence, option C is correct.

Tags

setsvenn-diagramsdisjoint-setsunionVenn DiagramsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

17

Why is this the correct answer?

Since A ∩ B = ∅, the sets are disjoint and have no common elements. For disjoint finite sets, the cardinality of the union is the sum of their cardinalities: n(A ∪ B) = n(A) + n(B) = 6 + 11 = 17. Hence, option C is correct.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.

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