Yes, normally this kind of setup will run off of a single service subscription. You would have to use CATV splitters to tap the signal into the rooms. One of the ways to do that would be to run RG11 cable as a backbone in the hallway(s), and tap-off cables can be either RG59 or RG6, depending on the number of channels your system is designed for. Also, with 180 rooms you will definitely need amplifiers. It is difficult to say how many though: that would depend on the size of the building.
If I were you, I would give a call to a CATV equipment manufacturer, such as Blonder Tongue, and have them design the system for you. You will, of course, have to use their equipment. The other way would be to call a distributor and ask if they have (free) design services. For PA and NJ jobs we buy this equipment from Accutech out of Philly (+1 (610) 583-7789). They have sales engineers that are ready to help. This way is even more flexible: a distributor does not have to buy a particular brand, so they may recommend a cheaper solution where possible.
Need help actually preforming this installation in NJ? Drop me a message at email@example.com, we have skilled CATV installers on staff.
Hope this helps. Good luck!
Dmitri Abaimov, RCDD