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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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Solution Answer | Comment 5 of 10 |
Since the average number of bananas is 16 each monkey, the widest range for not having 2 monkeys with the same number of bananas varies from 1 to 32. Three times 33 equals 99, so there are 33 groups of three monkeys with the same number of bananas varying from 1 to 33. The 100th monkey has 16 bananas and so thera re at least four monkeys with 16 bananas.
  Posted by Giorgio Rivieccio on 2006-08-29 05:42:19
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