Several combinatorial exercises have been considered, which artificial intelligence solves with errors. The representatives of artificial intelligence examined are ChatGPT and DeepSeek systems. Questions (prompts) to these systems are provided, and the obtained answers are analyzed. Hypotheses are proposed regarding the reasons for the errors made by artificial intelligence when solving the tasks under consideration. It is suggested that similar errors may occur when using artificial intelligence for software development and other applications. Topics for further research are proposed, which may be of interest for determining the conditions for the continued use of artificial intelligence.