Question 610590:
Find the number of ways to purchase 5 different kinds of drinks from a selection of 13 drinks
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website! C(n,r) = (n!)/(r!(n-r)!)
C(13,5) = (13!)/(5!*(13-5)!)
C(13,5) = (13!)/(5!*8!)
C(13,5) = (13*12*11*10*9*8!)/(5!*8!)
C(13,5) = (13*12*11*10*9)/(5!)
C(13,5) = (13*12*11*10*9)/(5*4*3*2*1)
C(13,5) = (154440)/(120)
C(13,5) = 1287
So there are 1287 ways if order doesn't matter.
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