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Keneth Rosen ex 10 pg 350
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closed as a duplicate of: application of pigeonhole principle
During a month with 30 days, a baseball team plays at least one game a day, but no more than 45 games. Show that there must be a period of some number of consecutive days during which the team must play exactly 14 games.

proof is given in rosen but I am unable to get it. It would be good if someone could give a proof of it in a better way.
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