needed help with this question, ty!

A camera shop stocks eight different types of batteries, one of which is a type A76. And the camera shop can obtain at most fifteen A76 batteries but can get at least fifty of each of the other types. Suppose that in addition to being able to obtain only fifteen A76 batteries, the store can get only eight of type D303. How many ways can a total inventory of fifty batteries be distributed among the eight different types?