A hook length formula is a formula for the number of Young tableaux associated with a given Ferrers
diagram. In each box, write its hook length. The
number of tableaux is then 
divided by the product of all hook
lengths.
Hook Length Formula
See also
Ferrers Diagram, Hook Length, Young TableauExplore with Wolfram|Alpha
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.Referenced on Wolfram|Alpha
Hook Length FormulaCite this as:
Weisstein, Eric W. "Hook Length Formula." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/HookLengthFormula.html