Read the given statement(s) and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statement(s).

Statements:
All singers are dancers.
No dancer is a plumber.

Conclusions:
I. No plumber is a singer.
II. Some singers are plumbers.
III. Some dancers are singers.

Only conclusions I and III follow.