SOLUTION: C(8,3)

Question 1191668: C(8,3)

Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!

This is the nCr combination formula.
C(n,r) = (n!)/(r!(n-r)!)
C(8,3) = (8!)/(3!*(8-3)!)
C(8,3) = (8!)/(3!*5!)
C(8,3) = (8*7*6*5!)/(3!*5!)
C(8,3) = (8*7*6)/(3!)
C(8,3) = (8*7*6)/(3*2*1)
C(8,3) = (336)/(6)
C(8,3) = 56

An application of this would be having 8 different cards and you pick 3 of them. There are 56 ways to do this if order didn't matter.

Answer: 56

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