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 balls are fans.

No fan is a player.

Some players are wickets.

Conclusions:

I. Some players are fans.

II. Some wickets are balls.

III. Some fans are balls.

Only conclusion III follows