Question

Which region in the Venn diagram represents students who play Volleyball or Football or both but Basketball?

• A. A+D+G+B
• B. A+D+G
• C. A+B+C
• D. A+C+D
• E. A+G+D

Hint:

In Venn diagrams, "A or B" is the Union ($A \cup B$), while "not C" means subtracting any area that falls inside circle C.

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
In a three-circle Venn diagram (Volleyball, Football, Basketball), the phrase "Volleyball or Football" refers to the entire area covered by those two circles (Union). "But not Basketball" means we must subtract any area that overlaps with the Basketball circle.
Step 2: Identifying the Vector of Change:
Assume the regions are labeled as follows (based on standard competitive exam diagrams): - A: Only Volleyball - G: Only Football - D: Both Volleyball and Football (but not Basketball)
Step 3: Calculation:
The required region includes: - People who play only Volleyball (A). - People who play only Football (G). - People who play both Volleyball and Football (D). Since none of these regions (A, D, G) intersect with the third circle (Basketball), they satisfy the condition.
Step 4: Final Answer:
The region is A + D + G. Thus, the correct option is (c).