Maths Olympiad Prep

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, 2009

Number theory Difficulty 3.0 AMC 10/12 Prove it Canada

An integer nn, with 100n999100 \leq n \leq 999, is chosen at random. What is the probability that the sum of the digits of nn is 2424?

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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.