A Formula for the number of Young Tableaux associated with a given Young Diagram. In
each box, write the sum of one plus the number of boxes horizontally to the right and vertically below the box (the ``hook
length''). The number of tableaux is then divided by the product of all ``hook lengths''. The `Combinatorica`NumberOfTableaux` function in *Mathematica*
implements the hook length formula.

**References**

Jones, V. ``Hecke Algebra Representations of Braid Groups and Link Polynomials.'' *Ann. Math.* **126**, 335-388, 1987.

Skiena, S. *Implementing Discrete Mathematics: Combinatorics and Graph Theory with Mathematica.*
Reading, MA: Addison-Wesley, 1990.

© 1996-9

1999-05-25