In three sets, n(A ∩ B ∩ C) = 14. Which region of the Venn diagram does this represent?
Answer and explanation
Correct answer: The common central part of all three circles
The intersection A ∩ B ∩ C contains elements that belong simultaneously to A, B, and C. In a Venn diagram with three overlapping circles, this is the central region common to all three circles. It does not mean an element is in only one set; the word ‘intersection’ requires membership in every listed set. Therefore, option C is correct.
Frequently asked questions
What is the correct answer to this question?
The common central part of all three circles
Why is this the correct answer?
The intersection A ∩ B ∩ C contains elements that belong simultaneously to A, B, and C. In a Venn diagram with three overlapping circles, this is the central region common to all three circles. It does not mean an element is in only one set; the word ‘intersection’ requires membership in every listed set. Therefore, option C is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.
