QuestionFive books of five different colors are placed on a shelf. The gold book is placed between the gray and orange books, and these three books are consecutive. The brown book is not leftmost on the shelf and the orange book is not rightmost on the shelf. The pink book is separated from the orange book by two books. If the brown book is not next to the pink book, what is the complete ordering of the books?
The complete ordering of the books is $\square$ $\square$ $\square$ $\square$ $\square$

Studdy Solution
Let's test the sequences:
1. If the sequence is Gray, Gold, Orange: - Pink can be in the first position, then Brown must be in the last position. - Complete order: Pink, Gray, Gold, Orange, Brown.
2. If the sequence is Orange, Gold, Gray: - Pink can be in the last position, then Brown must be in the first position. - Complete order: Brown, Orange, Gold, Gray, Pink.
Since the brown book cannot be leftmost, the only valid sequence is: $$\text{Pink, Gray, Gold, Orange, Brown}$$
The complete ordering of the books is:
$$\boxed{\text{Pink, Gray, Gold, Orange, Brown}}$$