It has applications to enumerative combinatorics, fractal analysis, theoretical computer science, automata theory, and linguistics. The counting sequences of combinatorial classes are the main subject of study of enumerative combinatorics. Fibonacci numbers is the basic example of a problem in enumerative combinatorics. Basic combinatorial concepts and enumerative results appeared throughout the ancient world. Not only the structure but also enumerative properties belong to matroid theory. He articulated the difficulty as the distinction between analytic and enumerative statistical studies. Binding motif discovery methods can be divided roughly into enumerative, deterministic and stochastic. Many library classifications combine the enumerative and faceted classification techniques. The problem of Apollonius is one of the earliest examples of enumerative geometry. He contrasted it with the kind of enumerative induction characteristic of statistical analysis. An enumerative classification contains a full set of entries for all concepts. There are two primary types of classification used for information organization&colon; enumerative and faceted. Popper's stance on induction being an illusion has been falsified&colon; enumerative induction exists. This model may also be used to estimate stop lines for enumerative (sequential) sampling. Comte found enumerative induction reliable as a consequence of its grounding in available experience.