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, 2001

Combinatorics Difficulty 2.0 Junior Find the answer Canada

Anne, Beth and Chris have 10 candies to divide amongst themselves. Anne gets at least 3 candies, while Beth and Chris each get at least 2. If Chris gets at most 3, the number of candies that Beth could get is

(A) $2$ (B) $2\text{ or }3$ (C) $3\text{ or }4$ (D) $2,3\text{ or }5$ (E) $2,3,4,\text{ or }5$

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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.