In a class of 40 students, 18 study Mathematics, 22 study English and 6 study both subjects. How many students study neither Mathematics nor English?
A6CORRECT
B10
C12
D8
GCEFurther MathematicsProbability and Statistics2024
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Why the answer is A, and why the others tempt you.
By the inclusion-exclusion principle, n(M ∪ E) = 18 + 22 − 6 = 34. Students studying neither = 40 − 34 = 6. Common errors include forgetting to subtract the intersection or subtracting it twice.
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