Question 619065
C(n,r) = (n!)/(r!(n-r)!)


C(22,3) = (22!)/(3!*(22-3)!)


C(22,3) = (22!)/(3!*19!)


C(22,3) = (22*21*20*19!)/(3!*19!)


C(22,3) = (22*21*20)/(3!)


C(22,3) = (22*21*20)/(3*2*1)


C(22,3) = (9240)/(6)


C(22,3) = 1540


So there are 1540 different ways.