Finding missing regions from totals

Finding missing regions from totals

TGM Original

Among 40 students, 22 study French F, 18 German G and 14 Spanish S. Inclusive intersections contain 10 in F and G, 8 in F and S, and 6 in G and S. Four study all three. Find how many study none and how many study French only.

Solution:

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Answer:None: 6; French only: 8.

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