The NEC doesn't place restrictions as to how many outlets can be on a circuit

There are some sensible standards. Note that some (US) outlets are "15-amp" and some are "20-amp". You can distinguish by the fact that on the 20-amp, one of the 2 rectangular holes for the plug is T shaped. On a 15-amp, both are not.
It would help to know what you plan to use these for. Most home wiring for lamps and such use 15-amp outlets. There are requirements as to how close together they must be. I believe that you must be able to reach an outlet from anywhere with a 6-foot cord. That means no more than 12 feet apart.
If you plan to use some heavy equipment that would require 20-amp outlets, reduce the number of outlets. Do you know have a plan as to what size wire to use?

I am planning to rewire my basement in relation to a basement refinishing project, I plan to mainly use the outlets for general household products(tv,vcr,etc.) The area would essentially be a large family/kids play area. I plan to use 12-2 wire w/ground.

[This message has been edited by tuber9 (edited January 24, 2002).]