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Exactly 20 games (Posted on 2008-10-01) Difficulty: 2 of 5
A chessmaster who has 11 weeks to prepare for a tournament decides to play at least one game every day, but in order not to tire himself, he agrees to play not more than twelve games during any one week (consider "week" as periods of 7 consecutive days, starting from the first day of preparation; that is: if the first day is Sunday, each one of the eleven weeks ends on each one of the next eleven Saturdays.)

Prove that there exists a succession of days during which the master will have played exactly twenty games.

See The Solution Submitted by pcbouhid    
Rating: 3.2000 (5 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: Trivial solution??Charlie2008-10-02 12:53:48
Trivial solution??ed bottemiller2008-10-02 12:27:23
En passant...ed bottemiller2008-10-02 11:19:18
About questionsGamer2008-10-02 01:35:08
Stalemate?ed bottemiller2008-10-01 20:40:47
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