Question 609904

C(n,r) = (n!)/(r!(n-r)!)


C(25,5) = (25!)/(5!*(25-5)!)


C(25,5) = (25!)/(5!*20!)


C(25,5) = (25*24*23*22*21*20!)/(5!*20!)


C(25,5) = (25*24*23*22*21)/(5!)


C(25,5) = (25*24*23*22*21)/(5*4*3*2*1)


C(25,5) = (6375600)/(120)


C(25,5) = 53130


So there are <font color="red">53130</font> ways.