In a Venn diagram, 14 elements lie outside both A and B, 22 lie only in A, 18 lie only in B, and 11 lie in both A and B. What is n(U)?
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Answer and explanation
Correct answer: 65
The universal set U contains every region shown in the Venn diagram, including the region outside both A and B. Therefore, n(U) = 14 + 22 + 18 + 11 = 65. The outside region must not be omitted because it still contains elements of U that belong to neither set. Thus option A is correct.
Frequently asked questions
What is the correct answer to this question?
65
Why is this the correct answer?
The universal set U contains every region shown in the Venn diagram, including the region outside both A and B. Therefore, n(U) = 14 + 22 + 18 + 11 = 65. The outside region must not be omitted because it still contains elements of U that belong to neither set. Thus 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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