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, 2003

Combinatorics Difficulty 3.0 AMC 10/12 Prove it Canada

By considering the number of required shifts and jumps, explain why the game with 3 quarters and 3 dimes cannot be played in fewer than 15 moves.

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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.