for this question i got the answer 60*59*59

2) There are 1500 students in Hall C.S.S. Each student requires a lock for a personal locker. The school provides a standard brand of lock for all students. If the locks are to operate the same way as those described in question 1, what is the smallest number of positions that must be in the lock to give each student a unique combination?

if anyone can help me that'll be great