Combinatorics has applications to analysis, algebra, and geometry. Examples can be found in Beckenbach (1981), Billera et al. (1996), and Lovász et al. (1995). Partitions and plane partitions have applications to representation theory (Bressoud (1999), Macdonald (1995), and Sagan (2001)) and to special functions (Andrews et al. (1999) and Gasper and Rahman (2004)).

Other areas of combinatorial analysis include graph theory, coding theory, and combinatorial designs. These have applications in operations research, probability theory, and statistics. See Graham et al. (1995) and Rosen et al. (2000).