The floor plan of a five-room house is shown. The rooms are labeled A, B, C, D, and E. The outside of the house is labeled F. The openings represent doors. Use the floor plan to answer the questions...

Extracted text: The floor plan of a five-room house is shown. The rooms are labeled A, B, C, D, and E. The outside of the house is labeled F. The openings represent doors. Use the floor plan to answer the questions below. A D ..... a. Draw a graph that models the connecting relationships in each floor plan. Use vertices to represent the rooms and the outside, and edges to represent the connecting doors. Choose the correct answer below. A A B A. D B D E В F D E D E F DABE Yes - a path exists No such path exists DAFB C E Drag the correct answer into the target below, then, if a path exists, drag the vertex labels to the appropriate locations in the path. b. Use your graph to determine if it is possible to find a path that uses each door only once. c. If such a path exists, find one. If a path exists, it goes from F to B to E to to to to to