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Ok so this is my point. If we reach this point, where we have narrowed down the most recent common ancestor down to two people in our quest to find one (if my definition is correct). Plenty of others could have contribured to the gene pool, but these are the direct ancestors.
No. You have found TWO common ancestors. The most recent common ancestor *might* be the most recent of these two or (more likely) is another more recent individual.
That is because (ignoring complications) the Y-chromosome lineage ONLY considers male-to-male (father-to-son) descent. The mitochondrial lineage ONLY considers the female line (mother-to-daughter). To find the MOST recent common ancestor we must relax those restrictions to include all lines of descent.
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(Althought I am note sure. If the common ancestor of everyone today, had kids with only one woman as you suggest, they would both the M-Eve and Y-Adam, as they are both the most recent examples of where everyone got their chromosomes.
This is not true. Even if the most recent common ancestors were a strictly monogamous couple, with no other partners, it would probably be false. For the man to be a Y-chromosome Adam everybody must be descended from one of his sons. For a woman to be the mitochondrial Eve everyone must be descended from one of her daughters. But to be the most common ancestors all that is necessary is that everyone must have (at least) one of their children - son OR daughter - as an ancestor.