Annie has 100 cards numbered 1 through 100. If she deals eight cards to Alex, without replacing any of them, what is the probability that Alex will get five consecutive numbers?  Choose the correct option
A) 95!/100! B) 96!/100! C) (93! X 8!)/100! D) (96! X 8!)/100! E) (97! X 4!)/100!
Alex to get 8 consecutive cards in ascending order, to have 8 consecutive at the end is good enough.   There are 93 consecutive numbers in 100: {1, 2, 3, 4, 5,6,7,8}, {2, 3, 4, 5, 6,7,8,9}, ..., {93,94,95,96, 97, 98, 99, 100};   Total ways to pick 8 cards out of 100 is {8!*93!}{100!}.   Answer: (93! X 8!)/100!.
<result>C</result>
Annie has 100 cards numbered 1 through 100. If she deals eight cards to Alex, without replacing any of them, what is the probability that Alex will get five consecutive numbers?