Three Statements are given followed by Three conclusions numbered I, II and III.
Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.

Statements:
Some fans are big.
All big are coats.
Some coats are flat.

Conclusions:
I. All fans are big.
II. Some coats are big.
III. Some flats are coats