The sentence with the correct order for adjectives is: I saw four young girls run by.
For the other sentences:
- "The French yellow dog is cute." is correct in terms of adjective order as well.
- "He bought three Spanish new books." should be "He bought three new Spanish books."
- "The paper smooth pages are great for writing." should be "The smooth paper pages are great for writing."
So, two sentences are correct: "The French yellow dog is cute." and "I saw four young girls run by."