Henry Ernest Dudeney/Puzzles and Curious Problems/266 - Railway Routes

by : $266$

 * Railway Routes
 * The diagram below represents a simplified railway system,
 * and we want to know how many different ways there are of going from $A$ to $E$, if we never go twice along the same line in any journey.


 * Dudeney-Puzzles-and-Curious-Problems-266.png


 * This is a very simple proposition, but practically impossible of solution until you have hit on some method of recording the routes.