A collection of books has 5 books on mathematics, 7 books on physics and 6 books on chemistry. In how many ways can you combine the collection on a shelf if you want the same subject to stand together?
The combinations within each subject should be, 5!, 7! and 6!, right? But how do i calculate the combinations so that they stand together?

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there are \(3!=6\) ways to arrange the three subjects

so multiply all that together and then multiply by 6

Multiply which together? 5!6!7! ?

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