Counting Ways to Select Books

Very Hard Data Analysis And Probability Counting Principles

In a school library, there are 12 different books on mathematics, 8 different books on science, and 5 different books on literature. A student wants to select a total of 4 books to borrow, with the condition that at least one book must be from each subject area.

How many different ways can the student choose the books?

Hint

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