Students of all departments who have successfully completed registration are eligible to vote. By the due date, noneof the students from the Department of Human Sciences (HS) had completed registration. Which set(s) of statements can be inferred with certainty?
\[
\begin{array}{l}
\text{(i) All ineligible students would certainly belong to HS.}
\text{(ii) None from non-HS departments failed to complete registration on time.}
\text{(iii) All eligible voters would certainly be students not from HS.}
\end{array}
\]