Are we all descendants of Noah and his sons?

If the [Bible story of the great flood](https://en.wikipedia.org/wiki/Genesis_flood_narrative) is true, then unless the flood did not kill all human and animal life other than the occupants of the ark, is it Christian belief that all human cultures of the earth such as those in Mongolia, China, Southeast Asia, India, Pakistan and the West are also descendants of Noah and his sons? Making us *all* the chosen people of God? **How does the Christian faith reconcile this problem?** Or are we all descendants of the [Mitochondrial Eve](https://en.wikipedia.org/wiki/Mitochondrial_Eve) as genetic science has determined?