Difference between revisions of "2001 AIME I Problems/Problem 14"

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== Problem ==
 
== Problem ==
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A mail carrier delivers mail to the nineteen houses on the east side of Elm Street.  The carrier notices that no two adjacent houses ever get mail on the same day, but that there are never more than two houses in a row that get no mail on the same day.  How many different patterns of mail delivery are possible?
  
 
== Solution ==
 
== Solution ==
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{{solution}}
  
 
== See also ==
 
== See also ==
* [[2001 AIME I Problems/Problem 13 | Previous Problem]]
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{{AIME box|year=2001|n=I|num-b=13|num-a=15}}
 
 
* [[2001 AIME I Problems/Problem 15 | Next Problem]]
 
 
 
* [[2001 AIME I Problems]]
 

Revision as of 23:26, 19 November 2007

Problem

A mail carrier delivers mail to the nineteen houses on the east side of Elm Street. The carrier notices that no two adjacent houses ever get mail on the same day, but that there are never more than two houses in a row that get no mail on the same day. How many different patterns of mail delivery are possible?

Solution

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See also

2001 AIME I (ProblemsAnswer KeyResources)
Preceded by
Problem 13
Followed by
Problem 15
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All AIME Problems and Solutions