HMMT November 2009 U31
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- Answer
There are two buildings facing each other, each 5 stories high. How many ways can Kevin string ziplines between the buildings so that: (a) each zipline starts and ends in the middle of a floor. (b) ziplines can go up, stay flat, or go down, but can't touch each other (this includes touching at their endpoints).
Note that you can't string a zipline between two floors of the same building.
Dataset text NuminaMath olympiads. Quoted with source.
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