Discrete math counting principles

In how many ways can a teacher distribute 12 identical science books among 15 students if

1) no student gets more than one book?

2) if the oldest student gets two books but no other student gets more than one book?

Initially, I tried the binomial theorems with the idea that the student gets a book or no book but that is not giving me the correct solution.

In how many ways can a teacher distribute 12 identical science books among 15 students if

1) no student gets more than one book?

2) if the oldest student gets two books but no other student gets more than one book?

Initially, I tried the binomial theorems with the idea that the student gets a book or no book but that is not giving me the correct solution.