If only A=18, only A∩B=12, only A∩C=10, and A∩B∩C=6, what is n(A)?
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Answer and explanation
Correct answer: 46
A consists of every region inside the circle representing A. These regions are only A, only A∩B, only A∩C, and the central triple intersection. Since the regions are disjoint, add their cardinalities: n(A)=18+12+10+6=46. The regions only in B or only in C are not part of A and must not be included.
Frequently asked questions
What is the correct answer to this question?
46
Why is this the correct answer?
A consists of every region inside the circle representing A. These regions are only A, only A∩B, only A∩C, and the central triple intersection. Since the regions are disjoint, add their cardinalities: n(A)=18+12+10+6=46. The regions only in B or only in C are not part of A and must not be included.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.
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