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Speaking Volumes (Posted on 2004-11-10) Difficulty: 3 of 5
In a group of students, 50 speak English, 50 speak French and 50 speak Spanish. Some students speak more than one language. Prove it is possible to divide the students into 5 groups (not necessarily equal), so that in each group 10 speak English, 10 speak French and 10 speak Spanish.

See The Solution Submitted by Brian Smith    
Rating: 3.1667 (6 votes)

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  Subject Author Date
Fairly simple solution (quick explanation)Gamer2011-12-10 18:28:51
Fairly simple solution (robust explanation)Gamer2011-12-10 18:16:13
re: Solution (possibly too informal)Dej Mar2008-09-30 08:07:04
No Subjectemily2004-11-29 22:58:57
re(3): Solution (???)Ken Haley2004-11-18 05:52:38
ReferenceRichard2004-11-16 22:01:26
re: Software program proofPenny2004-11-14 05:40:24
SolutionSoftware program proofPenny2004-11-14 04:49:38
re(3): Solution (yes, too informal)Tristan2004-11-13 17:14:30
SolutionConstructive Proofowl2004-11-13 14:23:07
re(2): Solution (yes, too informal)Penny2004-11-13 13:45:38
SolutionSolutionPenny2004-11-13 13:34:26
re(3): Solution (???)Tristan2004-11-11 18:26:52
re(2): Solution (yes, too informal)Charlie2004-11-11 14:34:17
re(2): Solution (???)nikki2004-11-11 08:21:51
re: Solution (yes, too informal)Tristan2004-11-10 18:46:06
re: Solution (possibly too informal)Trevor2004-11-10 18:14:52
SolutionSolution (possibly too informal)nikki2004-11-10 10:45:34
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