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Mr. Reader has six different Spiderman comic books, five different Archie comic books, two different Garfield comic books, and two difference Far Side comic books. When stacked, all of the Spiderman comic books are grouped together, all of the Archie comic books are grouped together, all of the Garfield comic books are grouped together, and all of the Far Side comic books are gouped together.

 

In how many different orders can these 15 comic books be stacked in a pile with the covers facing up and all of them facing the same direction? Express your answer as a whole number.

 Jan 7, 2021
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Given that all the comic book types must be grouped together, we can make each of these multiple comic books into 1 comic book. Therefore there are 3 comic books, how do we arrange it just 3! So that is 6 ways.

 

Now let us split each of these books into there only category

 

5!*2!*2!*6=$2880$ ways

 Jan 7, 2021

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