[From many - one.]

Rabbits have litters.
They can have far more offspring per unit of time than humans

In addition, the mix would have to be not 4 pairs but one pair (representing Noah and his wife), three male offspring of that pair and 3 semi-random females. Semi random because Noah and his family are not that far removed from Adam and Eve, thus putting an initial restriction on the possible genetic diversity.

That's why the genetic diversity is

[From many - one.]

"That's why the genetic diversity" sentence is not there.

Caffeine...must have caffeine.

[Elsie]

In addition, the mix would have to be not 4 pairs but one pair (representing Noah and his wife), three male offspring of that pair and 3 semi-random females.

Ok, do THAT then!

Or even better; just start with TWO!

Report back to me as to whether that LINE of rabbits will die out or not....