In a class of 40 students, 25 study French, 20 study Hausa, and 8 study both languages. How many students study neither French nor Hausa?
A3CORRECT
B5
C7
D12
GCEMathematicsSets and Logic2023
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Why the answer is A, and why the others tempt you.
Using the formula n(F ∪ H) = n(F) + n(H) − n(F ∩ H) = 25 + 20 − 8 = 37. The number who study neither = 40 − 37 = 3.
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