Question

Using the same Venn diagram, how many students study exactly two subjects?

• A. 15
• B. 20
• C. 25
• D. 30

Hint:

For “exactly n” categories in a Venn diagram, sum only the relevant overlapping regions.

Answer 1

The Correct Option is B

- Step 1: Exactly two subjects: P and C only = 5, P and B only = 8, C and B only = 7.
- Step 2: Sum: $5 + 8 + 7 = 20$.
- Step 3: Verify: Exclude “all three” (5) and single-subject regions.
- Step 4: Check options: Option (2) is 20.
- Step 5: Confirm by rechecking each two-subject region.
- Step 6: Option (2) is correct.