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