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?

kittykat Jun 21, 2024

#1**0 **

*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?*

7 • 6 • 5 • 4 • 3 • 2 • 1 = **5040 ways**

You can make 7 choices for the first book.

That leaves you 6 choices for the next book.

And then there are 5 choices for the third book.

and so on

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Bosco Jun 21, 2024