14. The grid below shows the streets in Anya's neighbourhood. B D с A a) If she only travels east and north, how many different routes can Anya take from her house at intersection A to her friend's house at intersection B? b) How many of the routes in part a) have only one change of direction? c) Suppose another friend lives at intersection C. How many ways can Anya travel from A to B, meeting her friend at C along the way? d) How many ways can she travel to B without passing through C? Explain your reasoning e) If Anya takes any route from A to B, is she more likely to pass through intersection C or D? Explain your reasoning.