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The map below displays the train network of Beastville, including the stations X and and the lines and   There is a station where any two lines intersect, and on every line, trains stop at each station.

 

Grogg wants to travel from station to station with the following conditions:
* Once Grogg leaves station he never returns to station

* Once Grogg arrives at station he never leaves station
* Grogg travels along each line at most once.
 

How many different routes can Grogg take?

 
 Oct 30, 2024

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