Package (44) glimpse of us... On a planet far, far away, Luke finds himself in a strange building with hexagon-shaped rooms as shown. Luke 2 4 9 8 3 S 7 0 South 10 10 12 11 13 In his search for the princess, Luke always moves to an adjacent room and always in a southerly direction. (a) How many paths are there to room 1? How many paths are there to room 2? How many paths are there to room 3? How many paths are there to room 4? (b) How many paths are there to room 10? (c) How many paths are there to room 13?