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:
Some beauticians are architects.
All architects are cashiers.

Conclusions:
I. Some architects are beauticians.
II. Some cashiers are architects.
III. Some cashiers are beauticians.