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, 2009

Combinatorics Difficulty 1.0 Junior Find the answer Canada

In a class of $30$ students, exactly $7$ have been to Mexico and exactly $11$ have been to England. Of these students, $4$ have been to both Mexico and England. How many students in this class have not been to Mexico or England?

(A) $23$ (B) $16$ (C) $20$ (D) $12$ (E) $18$

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.