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, 2009

Combinatorics Difficulty 2.0 Junior Find the answer Canada

Gavin has a collection of 50 songs that are each 3 minutes in length and 50 songs that are each 5 minutes in length. What is the maximum number of songs from his collection that he can play in 3 hours?

(A) $100$ (B) $36$ (C) $56$ (D) $60$ (E) $45$

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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.