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: Analyse options.
- Let A = Volleyball only, G = Football only, and D = Both Volleyball and Football. - The phrase "Volleyball or Football or both" refers to the union of these two circles. - The constraint "but not Basketball" requires us to exclude any regions that overlap with the Basketball circle (B).
Step 2: Conclusion.
The combined regions representing the specified criteria are A, D, and G. Final Answer: (b) A+D+G