In three sets, n(A ∩ B ∩ C) = 11. Which part of the Venn diagram does this represent?
Answer and explanation
Correct answer: The common central part of all three circles
The symbol A ∩ B ∩ C denotes the intersection of three sets. Therefore, it contains elements that belong simultaneously to A, B, and C. In a Venn diagram with three overlapping circles, this intersection is shown in the central region common to all three circles. The number 11 means that this common central region contains 11 elements; it does not refer to a region belonging to only one set or to the outside of the circles.
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 symbol A ∩ B ∩ C denotes the intersection of three sets. Therefore, it contains elements that belong simultaneously to A, B, and C. In a Venn diagram with three overlapping circles, this intersection is shown in the central region common to all three circles. The number 11 means that this common central region contains 11 elements; it does not refer to a region belonging to only one set or to the outside of the circles.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.
