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Prove using Pigeon hole principle a)We have three weeks to prepare for tennis tournament . We will play at least one match each day but

Prove using Pigeon hole principle

a)We have three weeks to prepare for tennis tournament . We will play at least one match each day but no more than 36 matches in total. Show that there is a period of consecutive day where you exactly play 21 matches. b) We now have 11 weeks , We will play at least one match per day up to total of 132 matches. Prove the same conclusion as above

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