There is a contest. 5 students will attend to this contest. 6 different books will be given as the prize. Winner will get 3 books, seond 2 books, and third student will get 1 book. In how many ways we can distribute the prizes?

My work:

C(6,3).C(3,2).C(2,1)

But the answer is 3600 according to the book.