The statements below are followed by three conclusions labeled I, II and III. Assuming that the information in the statements is true, even if it appears to be at variance with generally established facts, decide which conclusion(s) logically and definitely follow(s) from the information given in the statements.
Statements:
All pencils are houses.
All houses are eraser.
Conclusions:
I. Some pencils are eraser.
II. Some erasers are pencils.
III. All erasers are pencils.