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Class 10MathematicsSetsOperations on Sets (Union, Intersection, Difference)EasyLevel 10

If n(A − B) = 9, n(A ∩ B) = 4, n(B − A) = 6, and the outside region has 5 elements, what is n(U)?

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Answer and explanation

Correct answer: 24

The universal set U contains every region shown in the rectangle: the A-only region, the intersection, the B-only region, and the region outside both circles. Hence, n(U) = 9 + 4 + 6 + 5 = 24. Therefore, option C correctly gives the total number of elements in U.

Tags

setsvenn-diagramsuniversal-setregion-countingOperations on Sets (UnionIntersectionDifference)operations on sets union intersection differenceMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

24

Why is this the correct answer?

The universal set U contains every region shown in the rectangle: the A-only region, the intersection, the B-only region, and the region outside both circles. Hence, n(U) = 9 + 4 + 6 + 5 = 24. Therefore, option C correctly gives the total number of elements in U.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).

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