Question:
There are 50 books. Dan tries to order them. His only constraint is $5$ books by Dan Brown that need to be next to each other. How many possible orders for the $50$ books are there that satisfy this constraint?
Based on my intuition, this is a permutations question, and the answer is $46! \cdot 5!$.
First, we need to order all the books (include a place for $5$ books by Dan Brown. Second, we need to order the books by Dan Brown. Is my intuition correct?
Thanks.