I have devised a rule that assigns a positive integer to each English word. Here is a list of words and the integers the rule assigns them.
The rule can be described in a single sentence.
What is my rule?
Edit: I have chosen some additional words and computed the numbers the rule assigns them. Also, find some hints below.
It is unlikely you will find a word in the dictionary that is assigned a value larger than 10. However, the rule is defined for arbitrary strings of English letters, and it is possible write down strings with arbitrarily large output. To get an output of 11 requires a string of at least 16 characters, and the 16 character string with output 11 that comes first alphabetically is "dzzzzzzzzzzzzzzz".
It might be useful to start by figuring out what the words assigned 1 have in common.
The US coins are: penny (1¢), nickel (5¢), dime (10¢), quarter (25¢), half dollar (50¢), and dollar (100¢). This is relevant.
The rule assigns anagrams the same number.
The rule does not depend on any of the following:
Case, font, keyboard layout, letter frequency, word meaning
The longest string that the rule assigns 1 has one hundred letters.