Pedigree Collapse
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You can count the number of your ancestors by performing a very obvious mathematical progression: two parents, four grandparents, eight great-grandparents, and so forth. In the past twenty generations, you have a mathematical chance of having more than one million ancestors. Thirty generations produces more than a billion ancestors, and forty generations results in more than one trillion.
The calculation is correct from a mathematical viewpoint but ignores one obvious fact: there have never been that many humans on the face of the earth since the dawn of evolution!