I arrived at the right answer by process of elimination, but I had to review the question one more time to understand why E is the correct answer. My issue was with this phrase "And, it is bound to be unpopular either with faculty or among students", which I interpreted as unpopular with faculty or students or unpopular with both. Is "both" warranted in this situation? Diagram below...
-PF --> M
-PS --> N
-PF or -PS (inclusive)
which evaluates to PF --> -PS OR -PF and -PS
(E) translates to PF --> N
Must be true because we know -PF or -PS,
so PF --> -PS ( -PS must be true).
and we know, -PS --> N
which means, PF --> -PS --> N,
therefore, PF --> N
Except for -PF and -PS inference, the steps above are similar to explanation in the strategy guide. Please confirm or deny the -PF and -PS inference.