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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?

 Jun 21, 2024
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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?  

 

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  

.

 Jun 21, 2024

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