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, 2003

Number theory Difficulty 3.0 AMC 10/12 Find the answer Canada

If $496 = 2^m - 2^n$ , where $m$ and $n$ are integers, then $m+n$ is equal to

(A) $13$ (B) $9$ (C) $4$ (D) $14$ (E) $5$

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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.