In a regional agency of 100 civil servants, 60 can speak Ilocano, 50 can speak Cebuano, and 20 can speak both languages. How many civil servants speak neither of these two regional languages?
Answer and explanation
Correct answer: A. 10 civil servants
- Step 1: Total speaking at least one language = Ilocano + Cebuano - Both = 60 + 50 - 20 = 90 civil servants. Step 2. Total speaking neither = Total staff - Union = 100 - 90 = 10 civil servants. Answer: 10 civil servants, applying the principle of inclusion-exclusion: 100 - (60 + 50 - 20) = 10. Why not the others: 20 forgets to subtract the intersection 20 from (60 + 50 = 110).
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