Maths Olympiad Prep

Library / /305 of 413

, 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) 22 (B) 22 or 33 (C) 33 or 44 (D) 22, 33 or 55 (E) 22, 33, 44 or 55

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

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.