How does Mill define the Greatest Happiness Principle?

What do utilitarians like Bentham and Smart mean by characterizing some pleasures as “fecund”?
July 31, 2019
Utilitarian theory of J. S. Mill and the duty based theory of Immanuel Kant.
July 31, 2019

How does Mill define the Greatest Happiness Principle?

Question Description

Hi, I had questions about the text

Here is the link: Only read chapter 2:http://www.earlymoderntexts.com/assets/pdfs/mill1863.pdf

1) How does Mill define the Greatest Happiness Principle? How is the principle suppose to function as a guide to moral decision-making?

2.Why is it important that the Greastest happiness principle be applied to the greatest/larger number of persons?

3. What does Mill say about making sacrifices for the greater good? How might this  Mill’s ideal become a problem for potentially virtuous acts which don’t immediately benefit other people?