perplexus.info :: Numbers : Speaking Volumes

Speaking Volumes (Posted on 2004-11-10)

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.

Submitted by Brian Smith

Rating: 3.1667 (6 votes)

Solution: (Hide)

The comments provide a good discussion for this problem. Also, Richard found a site with a solution here.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Puzzle Solution	K Sengupta	2024-01-08 09:26:03
Fairly simple solution (quick explanation)	Gamer	2011-12-10 18:28:51
Fairly simple solution (robust explanation)	Gamer	2011-12-10 18:16:13
re: Solution (possibly too informal)	Dej Mar	2008-09-30 08:07:04
No Subject	emily	2004-11-29 22:58:57
re(3): Solution (???)	Ken Haley	2004-11-18 05:52:38
Reference	Richard	2004-11-16 22:01:26
re: Software program proof	Penny	2004-11-14 05:40:24
Software program proof	Penny	2004-11-14 04:49:38
re(3): Solution (yes, too informal)	Tristan	2004-11-13 17:14:30
Constructive Proof	owl	2004-11-13 14:23:07
re(2): Solution (yes, too informal)	Penny	2004-11-13 13:45:38
Solution	Penny	2004-11-13 13:34:26
re(3): Solution (???)	Tristan	2004-11-11 18:26:52
re(2): Solution (yes, too informal)	Charlie	2004-11-11 14:34:17
re(2): Solution (???)	nikki	2004-11-11 08:21:51
re: Solution (yes, too informal)	Tristan	2004-11-10 18:46:06
re: Solution (possibly too informal)	Trevor	2004-11-10 18:14:52
Solution (possibly too informal)	nikki	2004-11-10 10:45:34

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