Our university used Moodle for many years, and faculty were able to limit the number of files each student could upload for an assignment. This was useful so that each student would upload the same number of files for each assignment. For example, if the number of files allowed to be submitted was set to 1, students could only upload one file instead of multiple files. Extra files requires extra downloads for teachers which can be confusing.
Idea originates from Vincent Bonini and the Math Department at Cal Poly.