Question 550738
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)