(1) A shuttle bus travels through eight residential colleges (C1, C2, C3, C4, C5, C6, C7, C8) to pick up students. The location of the colleges determines the bus route. There are two routes connecting Cl and C2. From C2, the shuttle can go to C3 through two routes, one route to C4 and one route to C5. There is only one route that connects C5, C6, and C7. In order to get to C7, the shuttle bus needs to pass through C6 C8 can only be access by a route through C7. During semester break; a shortcut route that connects CI, C4 and C7 can be used to shorten the journey. a) Draw a graph that represents the route that connects the residential colleges. b) Decide whether the graph in la) is a simple graph? Justify your answer. c) List the degrees for each vertex in graph la)