SOLUTION: Find the number of ways to purchase 5 different kinds of drinks from a selection of 13 drinks

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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