In a class of 50 students, 30 study Mathematics, 25 study Physics, and 10 study both. How many students study neither Mathematics nor Physics?
Answer and explanation
Correct answer: B.
- Step 1: By the principle of inclusion-exclusion: .
- Step 2: .
- Step 3: Number of students studying neither subject = .
Answer
.
Why not the others: is the number studying both; evaluates ; and assumes everyone takes at least one subject.
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