One semester includes **13** weeks, Given **8** students we want to interview them with the following conditions:

**1)** Each student should be interviewed at least once.

**2)** None can be interviewed more than 3 times (3 is the maximum).

Calculate the number of possibilities to interview the students.

*Note: As usual, the order of interviews matters so interviewing A at the first week and B at the second is not the same as interviewing B at the first and A at the second week.*