Art of Problem Solving

2004 AIME I Problems/Problem 6: Difference between revisions

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== Solution ==
== Solution ==
{{solution}}
== See also ==
* [[2004 AIME I Problems/Problem 5| Previous problem]]
* [[2004 AIME I Problems/Problem 7| Next problem]]


== See also ==
* [[2004 AIME I Problems]]
* [[2004 AIME I Problems]]

Revision as of 14:59, 18 August 2006

Problem

An integer is called snakelike if its decimal representation $a_1a_2a_3\cdots a_k$ satisfies $a_i<a_{i+1}$ if $i$ is odd and $a_i>a_{i+1}$ if $i$ is even. How many snakelike integers between 1000 and 9999 have four distinct digits?

Solution

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See also