System to provide guide to students about getting admissions to universities of their choice or some specific courses
First of all, interesting question!

Most important thing to recommend you a starting point is to know what kind of data you have in hand. So my answer is regardless of that fact.

If you have a road-map of studies of students who got into University XXX then you can use model it with an HMM (Hidden Markov Model). 

In this case the observations are the sequence of courses one passed and you want to calculate the probability of landing in desired university. Transition matrix is the probability of getting course A after getting course B. Emission matrix might be something like how successful they were in the course. Transition and emission matrices can be scored using facts like dropping a course or failing or the education track they exhibit in.