Question 10
The There are 16 different books to be placed on 3 labeled shelves: Shelf X, Shelf Y, and Shelf Z. The books must be arranged so that: Shelf Y holds 1 more book than Shelf X, Shelf Z holds 2 more books than Shelf Y, and each book is placed on exactly one shelf. In how many distinct ways can the books be distributed across the 3 shelves under these conditions?