Three statements are followed by three conclusions numbered I, II and III. Assuming the statements to be true even if they do not conform to real-world knowledge, decide which of the conclusions logically follows/follow from the statements.

Statements:
1. All towns are cities.
2. No city is a village.
3. Some cities are corporations.

Conclusions:
I. Some corporations are villages.
II. Some towns are corporations.
III. No corporation is a village.