Question

The floor plan of a building is shown. Is it possible to start outside, walk through each door exactly once, and end up back outside? Justify your answer.

Solution

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Answered 1 year ago
Answered 1 year ago
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Start by representing the outside as 11 vertex and each of the colored rooms as other vertices.

Let the outside be vertex A.

Let the blue-colored room be vertex B.

Let the yellow-colored room be vertex C.

Let the gray-colored room be vertex D.

Let the pink-colored room be vertex E.

Let the orange-colored room be vertex F.

Let the peach-colored room be vertex G. 'slader'

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