I think you may want to double-check that claim. In the example of 10 men (regardless of political ideology... that one is for Toejoe!) and 100 women, if each man and each woman had one child, there would be 1,000 children. Of those 1,000 children, 500 would fall into the category of not having the same mother nor father, in other words, 500 with no common DNA.
According to the “50/500” rule suggested by the International Union for Conservation of Nature (IUCN), a minimum population size of 50 is necessary to combat inbreeding and a minimum of 500 individuals is needed to reduce genetic drift.
Assuming you find them to be credible for something like this, and assuming the term incest is at least generally synonymous with the term inbreeding (most would agree, I suspect) it seems clear that the population could easily survive without incest / inbreeding, since only 50 are needed, but we're starting with 110, and then the next generation comes in at 500 with no common DNA.
Although once the second generation of children were born, things could get dicey, incest-wise, depending again on the definition of incest.
Full disclosure; the rule is applicable to species generally so it may not be fully applicable to humans. Regardless, it's pretty clear that with this sample set, they could easily survive without incest / inbreeding.
Caption this Meme
