Multiple choice

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

Use the principle of inclusion-exclusion. Total students who studied at least one language = Total - Neither = 15 - 3 = 12. Students who studied both = Latin + Greek - Union = 7 + 8 - 12 = 3. This counts students who studied both subjects exactly once.

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