In a three-set Venn diagram, only B = 24, only A ∩ B = 11, only B ∩ C = 13, and A ∩ B ∩ C = 9. What is n(B)?
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Answer and explanation
Correct answer: 57
The set B contains every Venn-diagram region located inside B. The stated regions are only B, only A ∩ B, only B ∩ C, and the triple intersection A ∩ B ∩ C. These regions are disjoint because the pairwise regions are specified as “only.” Therefore, n(B) = 24 + 11 + 13 + 9 = 57. Hence option C is correct.
Frequently asked questions
What is the correct answer to this question?
57
Why is this the correct answer?
The set B contains every Venn-diagram region located inside B. The stated regions are only B, only A ∩ B, only B ∩ C, and the triple intersection A ∩ B ∩ C. These regions are disjoint because the pairwise regions are specified as “only.” Therefore, n(B) = 24 + 11 + 13 + 9 = 57. 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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