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MathNet 2009-part-01 — 175 problems (EN–VI) Question 172

Math Olympiad Vault · MathNet 2009-part-01 — 175 problems (EN–VI)

Question 172

A pupil has $7$ pieces of paper. He chooses some of them and cuts each of them into seven pieces. Next, he chooses some of the pieces and cuts each of them into seven pieces. He continues this procedure many times with the pieces he has in hand every time. Is it possible to have, at some time, $2009$ pieces of paper?