Shyam Constructions, a road laying company wants to lay roads in the new BITS Kashmir Campus. Given below is the road map of BITSK where AB, JG, FI etc. denote the roads. But as usual there is always an issue, once the road is laid the truck can’t go on top of it. Find in how many ways can Shyam Constructions lay the roads given they can start from any road?

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