Ruin Explorer
Legend
4 classes x 4 races x (at least) 4 backgrounds = 64 possible characters.
Add to that the possibility of different approaches to the classes (as evidenced by the two, very different Fighters), and you get a lot of mileage out of Basic. A 4-player group could play 16 campaigns without repeating a character. That clocks around 10 years of play.
Is this a joke post Klaus?
Pretty much everyone who has ever played one of the myriad games which has made a claim along those things knows "X times Y times Z = a FOZILLION POSSIBILITIES!" is pretty much 100% nonsense. There's no value in "not repeating a character". That's monkey business.

For some groups, the answer will be no - as mach1.9pants points out, BD&D was fine for his group for a long time. For other groups (probably the vast majority and WotC should certainly hope so!), boredom is likely, and more options will be desired. WotC will be only too happy to provide those options.
So yeah, I don't think Basic is designed to have infinite mileage because that would actually be somewhat counter-productive to WotC making $$$ (which is the bottom line, in the end), but I'm sure it's designed to be solid and fun, because it's likely to be the first Point-Of-Contact with D&D for a lot of people (and for some minority of people, it may be all they ever need, those lucky bastards!).
