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, 2003

Number theory Difficulty 2.0 Junior Find the answer Canada

The product of the digits of a four-digit number is 810. If none of the digits is repeated, the sum of the digits is

(A) $18$ (B) $19$ (C) $23$ (D) $25$ (E) $22$

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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.