Week #10 Winter 2001
It is neither here nor there how you get there from here, as long as
you get there in time to solve the WSU Math Department's

       CAN YOU GET
  THERE FROM HERE?
 

Towns A, B, and C are connected to each other by several roads, with at least one road connecting each pair of towns. In going from A to B one can go directly on one of the roads joining them, or one can travel from A to C on one of the roads joining A and C and then travel from C to B on a road joining C and B. In all, there are 33 routes from A to B (including those via C). Similarly, there are 23 routes from B to C (including those via A). How many routes are there from A to C (including those via B)?

Solution