"I seem to recall reading somewhere that to populate one country, a good 25 humans of different backgrounds were needed?"
25 laboratory mice are needed to successfully prevent inbreeding within an outbred colony. So i would assume you are correct, and that the same applies for humans.
I've asked this question before when i was studying with the JWs. The only answer i ever got was that humans were more 'pure' back then so it kind of cancelled out the inbreeding that would result from their reproduction.
So yeah, never got a good answer to that one.
Edit: Now that i think about it, Adam and Eve we're supposed to be genetically perfect right? So from what i understand, they wouldn't pass on any genetic problems. Their children's children would just be inbred.
The only problems that could occur would be if their children had genetic mutations which resulted in negative effects, and then passed them on to the next generation.
Then again... since Eve came from Adams rib, that would mean that they share the exact same genetic information. So their children would be inbred after all.