In the context of autonomous driving, a scenario is described by a set of parameters of the autonomous vehicle and its environment, for example: fast lane, high speed, right turn, sun etc.. The work of the experts allowed to identify parameters that can constitute scenarios. The objective of the proposed topic is to develop a mathematical method to generate the most relevant 1000 scenarios obeying multiple necessities. A scenario is a set of parameters obeying to certain needs. These necessities have been defined, including logical rules between parameters (e.g. a sunny day and a cloudy weather cannot coexist in the same scenario), or even the elaboration of weightings from two parameters (criticality and probability). Generating scenarios without prior work leads to a combinatorial explosion of solutions. The objective of our research work is to use mathematical tools to provide a set of relevant solutions.