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

If n(A) = 42, n(B) = 38, and n(A ∩ B) = 17, what is n(A' ∩ B)?

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Answer and explanation

Correct answer: 21

The set A' ∩ B contains elements that are in B but not in A. This is the same as B − A. Set B has 38 elements, and 17 of them are also in A, because n(A ∩ B) = 17. Removing these common elements leaves 38 − 17 = 21 elements. Therefore n(A' ∩ B) = 21.

Tags

setsvenn-diagramscomplementdifferenceintersectionOperations on Sets (UnionDifference)operations on sets union intersection differenceMathematics

Frequently asked questions

What is the correct answer to this question?

21

Why is this the correct answer?

The set A' ∩ B contains elements that are in B but not in A. This is the same as B − A. Set B has 38 elements, and 17 of them are also in A, because n(A ∩ B) = 17. Removing these common elements leaves 38 − 17 = 21 elements. Therefore n(A' ∩ B) = 21.

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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