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 00:20, 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
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