HMMT 2003 U41
- Guts
- Answer
A hotel consists of a square grid of rooms, each occupied by one guest. All the guests are uncomfortable, so each guest would like to move to one of the adjoining rooms (horizontally or vertically). Of course, they should do this simultaneously, in such a way that each room will again have one guest. In how many different ways can they collectively move?
Dataset text NuminaMath olympiads. Quoted with source.
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