Has anyone worked out how many valid Klingon words there are, in the sense that they're words found in the dictionary or such words with legal affixes? 

There's only a handful of {chuvmey}, which we can thus ignore for an approximation. The majority of "words" will be verbs, followed by nouns. Suppose that there are V root verbs and N basic nouns (i.e., verbs and nouns with no affixes). Then how many valid verbs and nouns are there? 

We can even go further and get a finer-grained count by considering which verbs can't take objects and thus can only have a subset of the prefixes applied to them. But as a first approximation which has about the right order of magnitude, assume all verbs can take all prefixes. (It's very tricky to handle {-moH} otherwise.)

Don't forget about the rovers, and the suffixes {-wI'} and {-ghach} which turn verbs into nouns.

Has anyone computed this? Someone asked me for a list of all valid Klingon words, and I did some rough calculations and came up with a number, but I wanted to see if anyone else had done the calculation to double-check my result.

Context:

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De'vID