On a Planet Far, Far Away, Luke Finds Himself in a Strange

Multiple Choice

On a planet far, far away, Luke finds himself in a strange building with hexagon-shaped rooms as shown in the figure below. In his search for the princess, he always moves to an adjacent room and always in a southerly direction. How many paths are there to room 13? ​ ​

A) 381 paths
B) 378 paths
C) 375 paths
D) 377 paths
E) 256 paths