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

The complete ordering of the books based on the given conditions is as follows:

1. Pink
2. Brown
3. Gold
4. Gray
5. Orange