In a class of 30 students, 18 study German, 15 study French, and 8 study both languages. How many students study neither language?
Answer and explanation
Correct answer: C. 5
- Step 1: Find students studying at least one language: n(G U F) = n(G) + n(F) - n(G cap F). Step 2. Substitute: 18 + 15 - 8 = 25 students. Step 3. Students studying neither: 30 - 25 = 5. Answer: 5. Why not the others: 3 forgets to subtract 8; 7 adds 8 twice; 2 subtracts incorrectly from 30.
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