Seeing as how this is the solution to An Unusual Paragraph, maybe you should go read that node before you read this one...
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--Okay, enough.--
There weren't any 'E''s. The entire paragraph was written without using the letter e. This is an example of a Lipogram.
The paragraph was written by Eliot Hearst in his article Psychology and Nothing, American Scientist, vol. 79, no. 5 (September-October 1991). He used to demonstrate the difficulty of trying to find an absence of something as a solution to a problem.