Continuity mistake: When Frodo is pulling Sam out of the water at the very end of the movie, the underwater shots show Sam's hand grasping Frodo's wrist (Frodo's palm is against the inside of Sam's wrist), but as soon as he gets him above water, Frodo has a grip on Sam that forces Sam to keep his palm facing away from Frodo's arm (Frodo's palm is against the back of Sam's arm). Short of releasing Sam completely, there is no way to change grip like that in between the two shots. (01:31:05)