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Mathematics 12 Online
OpenStudy (anonymous):

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?

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?

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

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

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!

ganeshie8 (ganeshie8):

np

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