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

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== Problem == | == 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 <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 == | ||

{{solution}} | {{solution}} |

## 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 in lowest terms be the probability that no two birch trees are next to one another. Find .

## Solution

*This problem needs a solution. If you have a solution for it, please help us out by adding it.*