Question 85182
You want the value of C(40 , 6) = {{{40!/((6!)(34!))}}}. This is equivalent to

{{{((40)(39)(38)(37)(36)(35))/((6)(5)(4)(3)(2)(1))}}} 
or (10)(13)(19)(37)(6)(7) = 3,838,380. This means that the probability of winning is 1 out of 3,838,380