That sounds like a nice size project. I guess, I can give some general answers here, but I would also suggest that you talk to the company that you'll be buying the equipment from, and have them calculate actual values of the taps, splitters and the amplifiers.
I can imagine that the building has a series of floors with long corridors, extending to the sides from the core where the elevators are. If that's the case, you can designate a closet on each floor or find one already used for vertical wire distribution. CATV stuff can co-exist in one closet with power if you move it few feet away from power equipment. You would then pull a thick cable (RG11) from your service entrance to each closet. It can be a continuous run if the closets are aligned vertically or separate homeruns from the floor closets to the service entrance. You would then use splitters to connect to a coax cable run along the corridor. At room locations you would install tap-offs and bring a smaller (RG59) cable into the rooms, terminated with F-connector in the wall plate.
Once again, it is impossible to design a system without knowing the size of the building and its configuration, so my best advice would be to call a company you want to purchase parts from, and have them design it for you. It's in their best interest to ensure the parts they are selling will work well for you, so, normally, they will be willing to help.
We used to source some inexpensive CATV parts from Smarthome.com, so here is the link to Smarthome.com web site for your reference.
Dmitri Abaimov, RCDD