A 12 volume encyclopedia is to be placed on a shelf. How many incorrect arrangements are there?

Question

kinggeorge · Answer

Let's start off with this question instead: how many correct arrangements are there?

anonymous · Answer

isnt there only 1 correct arrangement?

kinggeorge · Answer

I'm pretty sure that would be the case. 

One more question: how many total arrangements are there?

anonymous · Answer

479,001,600 possible arrangements

anonymous · Answer

ooooh

anonymous · Answer

i see how you get it, its basically no restrictions minus what you dont want

kinggeorge · Answer

Also correct. Although it's generally easier to leave it as just $12!$ instead of calculating the actual number.

Using those two numbers, how many incorrect arrangements are there?

kinggeorge · Answer

Yes, that's precisely it.

anonymous · Answer

thank you

kinggeorge · Answer

You're welcome.