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In this paper we establish an order statistics model of Young tableaux.Multiple integration over nested simplexes is applied to the enumeration ofYoung tableaux. A brief proof of Frobenius-Young's and Aitken's formulas isgiven. Partially standard Young tableaux and special truncated shapes includingtableaux with a hole are discussed, the associated product formulas are given.

A probabilistic approach for enumeration of certain Young tableaux