Two 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:

No field is a house.

All fields are parks.

Conclusions:

I. No house is a field.

II. Some parks are fields.

III. Some houses are fields.

Only conclusions I and II follow