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We must design a motherboard with 12 electronic components. Any two components may or may not be connected by one tiny electrical path. Since these

We must design a motherboard with 12 electronic components. Any two components may or may not be connected by one tiny electrical path. Since these paths are "drawn” on the motherboard surface they cannot intersect. What is the maximal number of paths possible? Draw an example of planar graph with this number of edges. What do you notice about all of the faces on this graph with the maximal number of edges?

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