If the value of n(A ∩ B ∩ C) for three sets is 4, where should 4 be written in the Venn diagram?
Answer and explanation
Correct answer: In the common region of all three circles
The notation n(A ∩ B ∩ C) gives the number of elements common to A, B, and C simultaneously. In a three-set Venn diagram, the triple intersection is the central region shared by all three circles. Therefore, the number 4 must be written in that central common region, not in any only-one-set region or outside the universal set. Option C is correct.
Frequently asked questions
What is the correct answer to this question?
In the common region of all three circles
Why is this the correct answer?
The notation n(A ∩ B ∩ C) gives the number of elements common to A, B, and C simultaneously. In a three-set Venn diagram, the triple intersection is the central region shared by all three circles. Therefore, the number 4 must be written in that central common region, not in any only-one-set region or outside the universal set. Option C is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.
