Answer:
Treating people equally
Step-by-step explanation:
The example of people on a lifeboat, discussed in the lecture, was designed to show a possible conflict between Mill's Greatest Happiness Principle and another well-known principle which is widely accepted. This is the principle of treating people equally
The possible conflict is between treating everyone on the lifeboat equally on the one hand, as opposed to throwing someone overboard to promote the greatest happiness for the greatest number on the other hand.