Continuity mistake: When Queeg orders a safety drill on the ship there are two seamen without a helmet. One helmet is being handed through to them, but in the next shot both men are wearing helmets. That Queeg, who should have seen both, wants to punish only one makes this slip complete.
Trivia: After Lt. Commander Queeg's curt briefing with senior officers he assigns orders to Ensign Keith regarding sailors' shirttails, hair length, and facial hair, and when Queeg leaves them Ensign Keith says, "Well, he's certainly Navy," and Lieutenant Keefer responds, "Yeah, so was Captain Bligh." This foreshadows the events to come, as it alludes to 1789's mutiny aboard the HMS Bounty of The Royal Navy, against its captain, William Bligh.
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