Multiple choice general knowledge math & puzzles

In a group of 15,7 have studied Latin, 8 have studied Greek, and 3 have not studied either. How many of these studied both Latin and Greek

  1. 0

  2. 3

  3. 4

  4. 5

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Using the principle of inclusion-exclusion: Total = (Latin + Greek - Both) + Neither. 15 = (7 + 8 - Both) + 3. This simplifies to 15 = 18 - Both, so Both = 3. Distractors like 4 or 5 fail the total count of 15.