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:

No student is a teacher.

All students are children.

Some girls are students.

Conclusions:

I. Some children are not teachers.

II. Some girls are not teachers.

III. No girl is a teacher.

Only conclusions I and II follow