Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given  conclusions logically follow(s) from the statements.

Statements:
1. Few gentlemen are rich.
2. Few gentlemen are not fools.
3. Everyone is either a fool or rich.

Conclusions:
I. No gentleman is rich.
II. Few gentlemen being fools is a possibility.
III. No one is both a fool and rich.