haley0 haley0
  • 14-07-2017
  • Mathematics
contestada

Evaluate 4!7! divided by 6!8!

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apologiabiology
apologiabiology apologiabiology
  • 14-07-2017
! is factorial
it means multipliy all numbers from 1 to that number together
example
1!=1
2!=2*1
3!=3*2*1
etc

some things to note
7!*8=8!
4!*5*6=6!


[tex]\frac{(4!)(7!)}{(6!)(8!)}[/tex]
so we can rewrite it as
[tex]\frac{(4!)(7!)}{(4!)(5)(6)(7!)(8)}[/tex]=
[tex]\frac{1}{(5)(6)(8)}[/tex]=
[tex]\frac{1}{240}[/tex]
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