Robert wants to arrange the books for Statistics, Calculus, Geometry, Algebra, and Trigonometry on a shelf. In how many arrangements can he keep them on the shelf such that the Algebra and Trigonometry books are not together?
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OpenStudy (anonymous):
@ganeshie8
OpenStudy (anonymous):
I think the answer is 24
ganeshie8 (ganeshie8):
24 is the number of arrangements such that Algebra and Trigonometry books are together
OpenStudy (anonymous):
no, 120 would be. wouldnt it?
Parth (parthkohli):
Why would he not want to keep them together?
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Parth (parthkohli):
How picky can someone be?
ganeshie8 (ganeshie8):
120 is the total arrangements
Parth (parthkohli):
Number of ways to arrange the books - number of ways to keep them together
OpenStudy (anonymous):
Lol right. it just to make me do more work.
ganeshie8 (ganeshie8):
lol
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OpenStudy (anonymous):
So based off what @ParthKohli just said the answer would be like 96?
Parth (parthkohli):
Indeed.
OpenStudy (anonymous):
That is not one of the choices though :/
ganeshie8 (ganeshie8):
Now thats interesting, how many of each type of books are there ?
OpenStudy (anonymous):
it says just one of each of the 5
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ganeshie8 (ganeshie8):
try
5! - 2*4! = 72
Parth (parthkohli):
Oh yes.
OpenStudy (anonymous):
so its 72?
ganeshie8 (ganeshie8):
Yes does that make sense
OpenStudy (anonymous):
Yeah. I just did it a different way. thats why I was off thanks!
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