All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Just Math
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
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (5)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information