Professor White teaches the same course in five different cl

Professor White teaches the same course in five different classes, each class belonging to a different university. For passing the exam, each student has to complete one of three possible projects. The only constraint that Professor White enforces is that students from the same class must choose the same project. On the other hand, the same project can be chosen by more than one class. In how many possible ways can the projects be assigned?

Solution

5C3 = 10

there are 10 possible ways that the projects can be assigned