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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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re(3): Solution (yes, too informal) | Comment 10 of 19 |
(In reply to re(2): Solution (yes, too informal) by Penny)

How many times do I have to say it?  It wasn't a counterexample for this problem, but to a different problem, to which I think Nikki's proof would apply, thus invalidating her proof.  It does not in any way invalidate all proofs.


  Posted by Tristan on 2004-11-13 17:14:30
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