I want to know the difference between the usage of "kinds of books", "kinds of book", and "kind of books".
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"Kinds of books" refers to multiple kinds and multiple books. "Kind of books" refers to a single kind of book of which there are multiple examples.
In Garner's Modern English Usage (3rd ed.), Garner writes:
These is plural, so what follows must be plural; of books is not necessary for the phrase to make sense. Because a sentence such as "These sorts are up to no good" is perfectly grammatical (albeit a bit old-fashioned sounding), it's clear that both words should be singular or both should be plural.