It is difficult to give a satisfactory definition of combinatorics, which often makes use of the richer structures of algebra and analysis to solve problems. The symposium held at the Ohio State University in Columbus, Ohio, on March 20-23, 1978, began with the idea that this gathering would be widely based, dealing with the significant role combinatorics plays in other areas of mathematics. The papers presented in these proceedings focus on the interconnections between combinatorics and geometry, group theory, number theory, special functions, lattice packings, logic, topological embedding, games, experimental designs, along with sociological and biological applications.