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, 2001

Number theory Difficulty 2.0 Junior Find the answer Canada

How many five-digit positive integers, divisible by $9$ , can be written using only the digits $3$ and $6$ ?

(A) $5$ (B) $2$ (C) $12$ (D) $10$ (E) $8$

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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.