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Kenneth Rosen Edition 7 Exercise 6.2 Question 41 (Page No. 406)

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An arm wrestler is the champion for a period of $75$ hours. (Here, by an hour, we mean a period starting from an exact hour, such as $1\: \text{p.m.,}$ until the next hour.) The arm wrestler had at least one match an hour, but no more than $125$ total matches. Show that there is a period of consecutive hours during which the arm wrestler had exactly $24$ matches.
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