If n(B) = 41 and n(A ∩ B) = 17, how many elements are in the region that belongs only to B?
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Answer and explanation
Correct answer: 24
The total number of elements in B includes the elements only in B together with the common elements in A ∩ B. Therefore, the exclusive B region is n(B) − n(A ∩ B) = 41 − 17 = 24. Option C is only the intersection, and option D is the complete set B. Since the shared elements must be removed from B, option A is correct.
Frequently asked questions
What is the correct answer to this question?
24
Why is this the correct answer?
The total number of elements in B includes the elements only in B together with the common elements in A ∩ B. Therefore, the exclusive B region is n(B) − n(A ∩ B) = 41 − 17 = 24. Option C is only the intersection, and option D is the complete set B. Since the shared elements must be removed from B, option A 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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