Difference between revisions of "2005 AIME I Problems/Problem 13"

 
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== Solution ==
 
== Solution ==
 
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{{solution}}
 
== See also ==
 
== See also ==
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* [[2005 AIME I Problems/Problem 12 | Previous problem]]
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* [[2005 AIME I Problems/Problem 14 | Next problem]]
 
* [[2005 AIME I Problems]]
 
* [[2005 AIME I Problems]]
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[[Category:Intermediate Combinatorics Problems]]

Revision as of 18:49, 17 October 2006

Problem

A particle moves in the Cartesian Plane according to the following rules:

  1. From any lattice point $(a,b),$ the particle may only move to $(a+1,b), (a,b+1),$ or $(a+1,b+1).$
  2. There are no right angle turns in the particle's path.

How many different paths can the particle take from $(0,0)$ to $(5,5)$?

Solution

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See also