What is pigeonhole principle? Using it, prove the following: (a) Durin

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Module 2: Mathematical Induction & Counting Techniques.

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What is pigeonhole principle? Using it, prove the following:

(a) 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.

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