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We use recurrences (alias difference equations) to prove the longstandingconjecture that the two most important permutation statistics, namely thenumber of inversions and the major index, are asymptoticallyjoint-independently-normal. We even derive more-precise-than needed asymptoticformulas for the (normalized) mixed moments. This is the fully revised secondedition, incorportating the many insightful comments of nine conscientiousNON-anonymous referees listed under the authors' names. This article isexclusively published in the on-line journal "Personal Journal of Shalosh B.Ekhad and Doron Zeilberger" and this arxiv.

The Number of Inversions and the Major Index of Permutations are Asymptotically Joint-Independently Normal