A combinatorial design is a finite incidence structure whose selected subsets, called blocks,
satisfy prescribed balance conditions. A t-(v,k,lambda)
design has 
points, blocks of size 
, and exactly 
blocks through every set
of 
points. Block designs, Steiner
systems, and Latin squares are central examples.
Combinatorial Design
See also
Block Design, Incidence Structure, Latin Square, Steiner System, t-DesignExplore with Wolfram|Alpha
References
Colbourn, C. J. and Dinitz, J. H. (Eds.). Handbook of Combinatorial Designs, 2nd ed. Boca Raton, FL: Chapman & Hall/CRC, 2007.Cite this as:
Weisstein, Eric W. "Combinatorial Design." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/CombinatorialDesign.html