In a Venn diagram of three sets, how is the most central common region represented?
Answer and explanation
Correct answer: A ∩ B ∩ C
The central region of a three-set Venn diagram contains elements that lie inside A, inside B, and inside C simultaneously. The intersection symbol ∩ means “common to all selected sets,” so the central region is represented by A ∩ B ∩ C. A union includes elements in any set, while A − B and C′ describe different regions.
Frequently asked questions
What is the correct answer to this question?
A ∩ B ∩ C
Why is this the correct answer?
The central region of a three-set Venn diagram contains elements that lie inside A, inside B, and inside C simultaneously. The intersection symbol ∩ means “common to all selected sets,” so the central region is represented by A ∩ B ∩ C. A union includes elements in any set, while A − B and C′ describe different regions.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.
