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:

All painters are actors.

No actor is a producer.

All choreographers are painters.

Conclusions:

I. No choreographer is producer.

II. Some actors are choreographers.

III. No painters is a producer.