Mathematics · Set Theory
In a school, students can play three types of games. Some of the students play exactly two types of games, but none play all the three games. Which of the standard Venn diagrams representing three overlapping sets can satisfy the condition that the central intersection region is empty while some double-intersection regions are non-empty?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1A diagram where all sections, including the intersection of all three, are filled.
- 2A diagram where no two games have any common players.
- 3A diagram where all students must play all three games.
- 4A diagram where the intersection of all three sets is empty, but intersections between two sets have elements.✓
Correct answer
A diagram where the intersection of all three sets is empty, but intersections between two sets have elements.
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