anonymous
  • 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?
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
anonymous
  • anonymous
I think the answer is 24
ganeshie8
  • ganeshie8
24 is the number of arrangements such that Algebra and Trigonometry books are together

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

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