How do you evaluate the expression (13!)/(9!)13!9!?

1 Answer
Anjali G
Nov 13, 2016

(13!)/(9!)=1716013!9!=17160

Explanation:

(13!)/(9!)13!9!

Expand:
=(13*12*11*10*9*8*7*6*5*4*3*2*1)/(9*8*7*6*5*4*3*2*1)=13⋅12⋅11⋅10⋅9⋅8⋅7⋅6⋅5⋅4⋅3⋅2⋅19⋅8⋅7⋅6⋅5⋅4⋅3⋅2⋅1

Cancel terms:
=(13*12*11*10*cancel(9*8*7*6*5*4*3*2*1))/cancel(9*8*7*6*5*4*3*2*1)

=13*12*11*10
=17160

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