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, 2002

Number theory Difficulty 2.0 Junior Find the answer Canada

Each of the integers 226 and 318 have digits whose product is 24. How many three-digit positive integers have digits whose product is 24?

(A) $4$ (B) $18$ (C) $24$ (D) $12$ (E) $21$

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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.