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:
Some villagers are farmers.
All businessmen are farmers.
Some city dwellers are businessmen.

Conclusions:
I. Some businessmen being villagers is a possibility.
II. Some villagers are city dwellers.
III. Some city dwellers are farmers.