Final answer:
There are 5040 different ways the books can be arranged on the bookshelf.
Step-by-step explanation:
To find the number of different ways the books can be arranged on the bookshelf, we can use the concept of permutations. In this case, we have 7 books, so the number of arrangements is given by 7 factorial (7!).
7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040
Therefore, there are 5040 different ways the books can be arranged on the bookshelf.