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, 1998

Combinatorics Difficulty 2.0 Junior Find the answer Canada

Mr. Anderson has more than 25 students in his class. He has more than 2 but fewer than 10 boys and more than 14 but fewer than 23 girls in his class. How many different class sizes would satisfy these conditions?

(A) $5$ (B) $6$ (C) $7$ (D) $3$ (E) $4$

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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.