Question: A semester of a college has $n$ days, how many ways can we separate the semester into sessions if each session has to consists of at least 5 days?
I think I'm simply stuck at the first step of this question. I'm not sure how to start a good approach to it.
However, this seems solvable by using generating function. The first task is separating the semester into each session. The second task is doing something to each session which is each session has to consists of at least 5 days. I'm stuck on writing the calculation explicitly at this moment, any suggestion would be appreciate.