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Mathematics 8 Online
OpenStudy (anonymous):

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

OpenStudy (kinggeorge):

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

OpenStudy (anonymous):

isnt there only 1 correct arrangement?

OpenStudy (kinggeorge):

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

OpenStudy (anonymous):

479,001,600 possible arrangements

OpenStudy (anonymous):

ooooh

OpenStudy (anonymous):

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

OpenStudy (kinggeorge):

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?

OpenStudy (kinggeorge):

Yes, that's precisely it.

OpenStudy (anonymous):

thank you

OpenStudy (kinggeorge):

You're welcome.

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