Question 583762
C(n,r) = (n!)/(r!(n-r)!)


C(22,9) = (22!)/(9!*(22-9)!)


C(22,9) = (22!)/(9!*13!)


C(22,9) = (22*21*20*19*18*17*16*15*14*13!)/(9!*13!)


C(22,9) = (22*21*20*19*18*17*16*15*14)/(9!)


C(22,9) = (22*21*20*19*18*17*16*15*14)/(9*8*7*6*5*4*3*2*1)


C(22,9) = (180503769600)/(362880)


C(22,9) = 497420


So there are 497420 different ways.