An author has six different book in print. If those six books are stacked in random order, what is the probability that they are arranged in alphabetical order from top to bottom? How about seven different books?
Multiplying the options for each slot together gives us the total possible arrangements. This would be .
Answer: there is only one desired outcome, or one way to arrange these books in alphabetical order. However, there are 6! = 720 ways to arrange them, so the probability that they will be in alphabetical order is:
P = 0.00139
For 7 books:
P = 1/7! = 0.000198
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