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How many continuous paths from A to B, along segments of the figure, do not revisit any of the six labeled points?

 

 Jun 19, 2021
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First, count how many paths goes from C to A without going through B.  Call this number n1.
Next, count how many paths goes from D to A without going through B.  Call this number n2.
The answer is n1 + n2.
 

 Jun 20, 2021

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