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I have $3$ different mathematics textbooks, $2$ different psychology textbooks, and $2$ different chemistry textbooks. In how many ways can I place the $7$ textbooks on a bookshelf, in a row, if all three mathematics textbooks must be together?

 Jun 23, 2024
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well if we consider the all the math books as one group then it just becomes arranging the math grou(m), the psychology books(p), and the chem books(c) so mppcc. to find the arrangements of these books we will do \(\frac{5!}{2!*2!}\) which is \(\boxed{30}\). at least i think so ¯\_(ツ)_/¯

 Jun 23, 2024

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