Hacking Passwords, from Hernan Avella
Here is an interesting article about hacking passwords: "How Crackers Make Minced Meat Out of Your Passwords". It has an obvious relationship with counting.
"It's all about analysis, gut feelings, and maybe a little magic," he said. "Identify a pattern, run a mask, put recovered passes in a new dict, run again with rules, identify a new pattern, etc. If you know the source of the hashes, you scrape the company website to make a list of words that pertain to that specific field of business and then manipulate it until you are happy with your results."