On an episode of the science fiction television program Doctor Who, the “Progenation Machine" can take a tissue sample from an individual, duplicate all their chromosomes many times, then assemble

anew individual with a complete set of homologous pairs by randomly selecting two of each set of chromosomes. If this actually worked, and wasn't just a fictional construct, what is the maximum number of genetically distinct individuals that could be produced in this way from a human?

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