SOLUTION: a forest contains 843,000 trees of a certain species. statistical studies show that the number of leaves on these trees varies from a low of 943 to a high of 3722. at least how man

Question 342255: a forest contains 843,000 trees of a certain species. statistical studies show that the number of leaves on these trees varies from a low of 943 to a high of 3722. at least how many trees must have the same number of leaves?
Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
3722 - 943 = 2779, so there are at most 2780 different numbers of leaves.
The most evenly distributed they could be would be
843,000 / 2780 = 303.237
So if you start dividing trees up by their numbers of leaves,
you could have 2780 sets, each with 303 members.
There would be 660 trees remaining, and since that is less than 2780,
each of those could belong to a different set.
In any case, it is guaranteed that at least 304 trees have the same number of leaves,
and either there will be a higher number, or there will be multiple sets with the same number.

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