OPM 2016 Problem 1
- Final day 1
To unlock his cell phone, Joao slides his finger horizontally or vertically across a numerical box, similar to the one represented in the figure, describing a -digit code, without ever passing through the same digit twice. For example, to indicate the code , Joao follows the path indicated in the figure.
João forgot his code, but he remembers that it is divisible by . How many codes are there under these conditions?
Dataset text AI-MO AoPS. Quoted with source.
Official text: Portuguese Mathematical Olympiad 2016 official paper, page 1.
Solutions
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