The Occurrence-in-subtuple problem

TL;DR

This paper investigates a specific combinatorial problem related to occurrence-in-subtuple, providing an exact solution and discussing potential applications beyond bioinformatics.

Contribution

It introduces and solves a new combinatorial problem, offering a detailed derivation and exploring its broader applicability.

Findings

Exact solution to the occurrence-in-subtuple problem

Derivation of combinatorial formulas

Potential applications in bioinformatics and related fields

Abstract

As we go along with a bioinformatic analysis we stumbled over a new combinatorial question. Although the problem is a very special one, there are maybe more applications than only this one we have. This text is mainly about the general combinatorial problem, the exact solution and its derivation. An outline of a real problem of this type is in the discussion.