If you get 50% of dna from each parent, and there’s a finite amount of dna in each one, in theory, if you had enough kids (an impossibly large quantity) would your kids eventually be genetically identical to previous kids? Would the possible number of dna combination end eventually?
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Mathematically speaking, a finite number of definite objects can only be combined or selected from in a finite number of ways. This applies whether the discussion is genetics or pretty much a combination of anything.
But the combinations grow exponentially so anything past a fairly small number grows to an extent that it is for any (human) intents and purposes pretty much “infinite”. The simple example is shuffling a deck of cards. Only 52 cards but the number of different ways of arranging them is a number so large that if a different arrangement were made every second, it is likely that the time needed to do this would exceed the ultimate age of this universe.
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