Three towns and roads

If there are three roads from town A to town B And four roads from town B to town C, how many ways can one go from town A to town C and back to town A, through town B, without passing through the same road twice?

Correct answer:

n =  72

Step-by-step explanation:

a=3 4=12 b=(41) (31)=6  n=a b=12 6=72

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