Question 1160716
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Yes you are correct. The answer is graph A.


One possible Euler circuit is to start at A and follow the exact sequence in the order shown below
ABC,DEF,CEB,FA
I used commas to make the sequence more readable


To be honest, that is potentially a jumble of letters to easily get lost in. It might be easier to label the segments in the order they are used. These are the numbers shown in red
<img src = "https://i.imgur.com/megE396.png">
The blue and green paths are to help separate the overlapping portions. 


Side note: If you use every edge exactly one time, but don't necessarily end up at the same starting point, then you have followed an Euler path. An Euler circuit is an Euler path that ends up at the same starting point. You can picture the edges as a series of bridges. Each time you use a bridge, the bridge breaks (from weight or perhaps it was burned somehow) so you cannot use that bridge again. The goal is to use all bridges and end up at the same starting point.
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