Jessica is studying combinatorics during a 7-week period. She will study a positive integer number of hours every day during the 7 weeks (so, for example, she won't study for 0 or 1.5 hours), but she won't study more than 11 hours in any 7-day period. Prove that there must exist some period of consecutive days during which Jessica studies exactly 20 hours.
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Home » Mathematics » Jessica is studying combinatorics during a 7-week period. She will study a positive integer number of hours every day during the 7 weeks (so, for example, she won't study for 0 or 1.