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Bananas (Posted on 2006-08-28) Difficulty: 2 of 5
100 monkeys have together 1600 bananas. Show that at least four monkeys have the same number of bananas.

See The Solution Submitted by JLo    
Rating: 3.3333 (3 votes)

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Some Thoughts re: Answer | Comment 6 of 10 |
(In reply to Answer by Giorgio Rivieccio)

Though I'd agree with the general logic, there are some gaps, since it concludes "there are at least four monkeys with 16 bananas", while I can think of many arrangements WITHOUT any monkey having 16 bananas.

Granted, in those arrangements there would be at least 4 monkeys with the same number of bananas, but NOT 16, and that's what this reasoning says they should have.

  Posted by Old Original Oskar! on 2006-08-29 13:14:23

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