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I have $4$ different mathematics textbooks and $3$ different psychology textbooks. In how many ways can I place the $7$ textbooks on a bookshelf, in a row, if all the psychology textbooks are together?

 Jun 17, 2024
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First, let's assume the psychology textbooks are one bundle. Then, there are obviously 5!=120 ways to organize the four textbooks and the bundle. Next, there are 3!=6 ways to arrange the different psychology books inside the bundle. Therefore, there are 120*6= \(720\) ways to organize the textbooks.

 

Feel free to tell me if I made a mistake! :D

 Jun 19, 2024

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