Henry Ernest Dudeney/Modern Puzzles/160 - Going to Church

by : $160$

 * Going to Church
 * A man living in the house shown as $H$ in the diagram wants to know what is the greatest number of different routes by which he can go to the church at $C$.


 * Dudeney-Modern-Puzzles-160.png


 * The possible roads are indicated by the lines, and he always walks either due $N$, due $E$, or $N.E.$;
 * that is, he goes so that every step brings him nearer to the church.


 * Can you count the total number of different routes from which he may select?