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...actually, she has told someone - she auctioned off the answer for charity and Dick Ebersol bought it...
http://en.wikipedia.org/wiki/You're_So_Vain
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The clues so far are the letters A, E and R. That eliminates Cat Stevens, Kris Kristofferson and William Donaldson. Left in contention are Mick Jagger, Warren Beatty and James Taylor.