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The city plan shown below has two coffeeshops (labeled in red) and a single road which is missing a segment. How many ways are

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The "city plan" shown below has two coffeeshops (labeled in red) and a single road which is missing a segment. How many ways are there to go directly from your house (at the lower left) to your work (at the upper right) by a route which visits at one of the coffee shops?

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The problem youve presented is a combinatorial one where we need to calculate the number of paths from the bottomleft corner of the grid to the topright corner passing through at least one of the two ... blur-text-image

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