As stated the question seems to me that designing a transmission system from thin air with 9 subs is infeasable.
So assuming that the OP has some design in place and/or existing infrastructure is the only way I can see that there can be a solution.
That said some improvisation can be accomplished by assuming that the network will folow existing transportation. So another method to get many possibilities without the above,
would be to convert a. section lines, b road networks, etc into the transmission network.
On to my solution.
Create a field [type] and apply transmission values where appropriate.
Create a village/region/servicearea field and apply appropriate network areas to that.
make sure the coordinate system of the data is in a unit that you want your output to be in. (this just make the reporting easier.
For cursory project information you can...
Simply do a select type = transmission and village IN ('village_1', 'village_2', 'village_3').
Then open the attribute table, select the length field right click and choose statistics.
That would assume you have attributes you can use in that manner.
For more sofisticated output you will need to become more sofisticated in your design schema.
For instance to accomplish multiple scenarios you would need multiple designs between each hub or connection point.
To do this you might replace the transmission value with transmission option 1, 2 and so forth.
At that point you probably would want to start with something as mentioned above in the traveling salesman, redistricting tool esri
The next level would be to utilize full on network design tools with load capacity analyzation, ROW/easment access, and network editing/visualization tools.