Annie has 100 cards numbered 1 through 100. If she deals six cards to Alex, without replacing any of them, what is the probability that Alex will get five consecutive numbers?  Pick
A) 95!/100!
B) 96!/100!
C) (95! X 6!)/100!
D) (96! X 5!)/100!
E) (97! X 4!)/100!
Alex to get 6 consecutive cards in ascending order, to have 6 consecutive at the end is good enough.   There are 95 consecutive numbers in 100: {1, 2, 3, 4, 5,6}, {2, 3, 4, 5, 6,7}, ..., {95,96, 97, 98, 99, 100};   Total ways to pick 6 cards out of 100 is {6!*95!}{100!}.   Answer: (95! X 6!)/100!
<result>C</result>
Annie has 100 cards numbered 1 through 100. If she deals six cards to Alex, without replacing any of them, what is the probability that Alex will get five consecutive numbers?