I used to think that putting the word count on a submission wasn’t that big of a deal, as you can look it up in Microsoft Word as soon as you have the document open.
Once I started read slush for an online e-zine, I realized why having the word count was important to Editors; they need to know how much time to set aside to read the story.
Having a word count on the upper part of the first page tells them this right away. If you have it on the cover page (or wherever their submission page asks for it) then you are probably fine.
