Let's say that an ISP offers a plan with 5 static IP addresses, but I have more than 5 devices, many of which (such as a networked printer, for instance) I do not want or need to have a static IP address.

So the topography I'm planning goes something like:

ISP -> Router -> Switch -> Computer (static address)
                        -> Computer (static address)
                        -> Printer (DHCP/NAT)
                        -> Tv (DHCP/NAT)
                        -> (...)

              -> Wireless Devices (DHCP/NAT)

Generally speaking, is it possible to run a network like that? If not, then what sort of setup do I need so that I can assign static addresses just to the things that need them, and use DHCP/NAT for everything else?

Also, what internal networking devices will consume a static IP address? I'm pretty sure the router will, correct? Does the switch also?