Difference between revisions of "1984 AIME Problems/Problem 11"

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== Problem ==
 
== Problem ==
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A gardener plants three maple trees, four oaks, and five birch trees in a row. He plants them in random order, each arrangement being equally likely. Let <math>\frac m n</math> in lowest terms be the probability that no two birch trees are next to one another. Find <math>\displaystyle m+n</math>.
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== Solution ==
 
== Solution ==
 
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Revision as of 01:20, 21 January 2007

Problem

A gardener plants three maple trees, four oaks, and five birch trees in a row. He plants them in random order, each arrangement being equally likely. Let $\frac m n$ in lowest terms be the probability that no two birch trees are next to one another. Find $\displaystyle m+n$.

Solution

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See also

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