The Vice-Chancellor (1)/ wants all vacancies (2)/ to be filled up. (3)/ No Error (4)

Here, to be filled ..... should be used.

The word Fill (Verb) means : to appoint somebody to a job.

Fill up with something = to become completely full, to make something completely

full.

Look at the sentences :

The vacancy has always been filled.

The ditches had filled up with mud.