Question 508054
I'm assuming order does not matter.


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


C(45, 6) = (45!)/(6!*(45-6)!)


C(45, 6) = (45!)/(6!*39!)


C(45, 6) = (45*44*43*42*41*40*39!)/(6!*39!)


C(45, 6) = (45*44*43*42*41*40)/(6!)


C(45, 6) = (45*44*43*42*41*40)/(6*5*4*3*2*1)


C(45, 6) = (5864443200)/(720)


C(45, 6) = 8145060


So there are 8145060 different ways.