Let Each Letter of the Alphabet Have Numerical Value Equal

Short Answer

Let each letter of the alphabet have numerical value equal to its position; i.e., A=1, B=2, , Z=26. A 3-letter word is constructed at random from the letters A, B, C, D, E (any order of letters counts, nonsense words are acceptable, letters cannot be repeated). You then add the numerical values of the letters. Find the expected value of the word.