Sets 2

3 marks · Normal

In a group of 60 students, 34 study French, 29 study Spanish, and 18 study both languages. How many students study at least one of these two languages?

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45 (±0)

Common mistakes: Not subtracting students who study both

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Marking points

M1 · 1 mark · Uses the correct inclusion-exclusion method: n(F ∪ S) = n(F) + n(S) − n(F ∩ S). (follow-through)

A1 · 1 mark · Correct substitution and calculation to get 45. (follow-through)

B1 · 1 mark · Writes a clear final answer with appropriate reasoning.

Worked solution

n(French ∪ Spanish) = n(French) + n(Spanish) − n(both)

45 students study at least one of these two languages.