An example of man vs. man would be when Tom and Gatsby fight over who Daisy loves more.
MAN vs. MAN
An example of man vs. self is when Gatsby is reaching out at the green light on Daisy's house. This shows how much he wants her.
MAN vs. SELF
MAN vs. SOCIETY
An example of man vs. society is how the owl-eyed man was the only person to go to Gatsby's funeral who had also attended some of his parties. This shows how people who are rich have no feelings and dont care about anything.