There are 26 tiles in a bag, each with a different letter on it. You draw 5, without replacement. What is the probability that you pick the five letters in alphabetic order (e.g. C-H-R-T-W)
The Attempt at a Solution
The only way I could think of to do this was to find the total number of possible 5 letter sequences and the number of those sequences that are in alphabetic order, and then divide the two. There are 26P5=7893600 different sequences of letters. But I have not been able to think of a good way to calculate the number of those that are in alphabetic order. Any suggestions would be appreciated. Thank you!