I also find the question not-well defined. I suspect the association between words and numbers is misleading (since a list of English words would be required if each number really had to correspond to a word) and instead is introduced as an analogy for the anagram of an arbitrary number (reordering of the decimal digits). Perhaps it is an intentional distraction to obfuscate the question.

I could give a precise mathematical description of what I think is required, but (a) that probably wouldn't be in the spirit of the competition, (b) my code doesn't work, so my interpretation is likely to be wrong :-).