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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?

 May 9, 2024
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Simply divide by the amount you have overcounted using 7!.

 

\(\text{Answer} = \dfrac{7!}{3!2!2!} = 210\)

 May 10, 2024

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