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Your model train has one engine and eight train cars. Find the total number of ways you can arrange the train. (The engine must be first.

 May 15, 2020
edited by Guest  May 15, 2020
 #1
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The eight train cars can be arranged in  8 !  ways  = 40,320  arrangements

 

cool cool cool

 May 15, 2020
 #2
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The engine has to be first, then the eight cars can be arranged in eight factorial ways...

...unless the caboose has to be last, and then the answer is seven factorial. 

 

8! is 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40,320 

.

 May 15, 2020

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