Question 895304
n C r = (n!)/(r!(n-r)!)


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


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


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


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


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


22 C 3 = (9240)/(6)


22 C 3 = 1540


So there are <font color="red">1,540</font> different groups (assuming order doesn't matter)