Question 604856
C(n,r) = (n!)/(r!(n-r)!)


C(10,5) = (10!)/(5!*(10-5)!)


C(10,5) = (10!)/(5!*5!)


C(10,5) = (10*9*8*7*6*5!)/(5!*5!)


C(10,5) = (10*9*8*7*6)/(5!)


C(10,5) = (10*9*8*7*6)/(5*4*3*2*1)


C(10,5) = (30240)/(120)


C(10,5) = 252


So there are 252 ways. This is assuming that order doesn't matter.