If I recall my history correctly, those left adrift in the boat survived in what is called by many one of the most brilliant act of navigation in maritime history. Bligh was also exonerated from charges and those who took part in the mutiny were court marshaled in absentia
Bligh and his loyal crew members crossed over one thousand miles of open sea and landed in a Dutch colony.
Another RN ship was eventually dispatched to Tahiti to bring back the mutineers. Those still on Tahiti were taken into custody but on the way back to England that ship sank after running aground on the Great Barrier Reef. Eventually the castaways were rescued and returned to England, tried and hung.
Fletcher Christian and his followers settled on Pitcairn Island where their descendants live to this day.