Recombinant DNA techniques provide a means of defining new polymorphisms at the DNA sequence level. Polymorphisms arise when individuals differ in the location and number of sites where restriction endonucleases can cleave their DNA. Each such site exhibits two possible states: one for the presence of a specific endonuclease recognition sequence, the other for its absence. The states of a system of adjacent sites can be revealed experimentally by cleaving a person's DNA into a set of fragments. For experimentally well-understood systems of sites, we consider problems of counting numbers of possible fragments, haplotypes, genotypes, and phenotypes, and the means of resolving phenotype-genotype ambiguities. The degree of polymorphism generated by such systems and the importance to gene mapping are discussed.