到 and 去 in sentence 他到图书馆去了。 The sentence means: she went to the library. I am confused by the placement of 到 and 去 in the sentence. 到 and 去 both mean to go. Does the 去了 have to appear after 图书馆， and why is the suffix 了 after 去， but not 到? In short, I want to know the difference between 你到图书馆去了, 你到了图书馆去，你到了图书馆， and 你去了图书官。 Thank you!

Using 的 when linking adjectives 那个男的又高又大。 The sentence translates to, "That guy is both big and tall". I do not understand why the 的 is need in that sentence. Wouldn't it make sense just to say, "那个男又高又大。”

The location of nouns and verbs within a sentence. 我们想办法解决这个问题。I saw this sentence in a workbook I am using, and it translates into, "We should think of a way to solve this problem" 我们想解决这个问题, makes sense to me because it follows Subject-Verb-Object order. However, I do not understand why 办法 placed where it is. I do not think that 办法 modifies 解决， because 办法 is a noun. If someone can explain this to me, I would be grateful. Thank you!

The location of time phrases and verbs within a sentence. 他请我礼拜六跟他去看电影。I saw this sentence in a textbook. I do not understand why the 礼拜六 comes after 请我？ I thought that time phrases come before the verb. Thank you for your help.