If n(A) = 32 and n(A ∩ B) = 14, how many elements are only in A in the Venn diagram?
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Answer and explanation
Correct answer: 18
The total of A consists of two parts: the elements only in A and the elements in the intersection A ∩ B. Therefore, only A = n(A) − n(A ∩ B) = 32 − 14 = 18. Option C gives the common region, while option D gives the total of A, including the common region. Thus, option A correctly represents the exclusive A region.
Frequently asked questions
What is the correct answer to this question?
18
Why is this the correct answer?
The total of A consists of two parts: the elements only in A and the elements in the intersection A ∩ B. Therefore, only A = n(A) − n(A ∩ B) = 32 − 14 = 18. Option C gives the common region, while option D gives the total of A, including the common region. Thus, option A correctly represents the exclusive A region.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.
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