Question 550738: In how many ways you can randomly select 5 students from a 12-student class?
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website! C(n,r) = (n!)/(r!(n-r)!)
C(12,5) = (12!)/(5!*(12-5)!)
C(12,5) = (12!)/(5!*7!)
C(12,5) = (12*11*10*9*8*7!)/(5!*7!)
C(12,5) = (12*11*10*9*8)/(5!)
C(12,5) = (12*11*10*9*8)/(5*4*3*2*1)
C(12,5) = (95040)/(120)
C(12,5) = 792
There are 792 ways to select 5 students from a 12-student class (assuming order does not matter)
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