AB AC AD AE AF 5 ways If you used AB, then, there would be 4 remaining ODD vertices (C, D, E and F) CD CE CF 3 ways If you used CD, then, there.

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AB AC AD AE AF 5 ways If you used AB, then, there would be 4 remaining ODD vertices (C, D, E and F) CD CE CF 3 ways If you used CD, then, there would be 2 remaining ODD vertices (E and F) EF 1 way

Here are the 15 ways AB BC CD DE EF AC BD CE DF AD BE CF AE BF AF

A B C D E F G H

What the examiner is looking for You have stated the ODD VERTICES You have stated the different combinations and their distances You have stated which combination is repeated You have added the new edges to your diagram You have stated the total distance, showing the sum