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