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Let G be a simple connected planar graph with the degree sequence 4, 4, 3, 3, 2, 2. Determine why a graph with such a

Let G be a simple connected planar graph with the degree sequence 4, 4, 3, 3, 2, 2. Determine why a graph with such a degree sequence exists. Then find the number of faces in this graph, if possible.

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