摘要：The article is structured as follows. In section 1, the Introduction, a historical summary on the arising of the combinatorics is given. Next, a short review of the part of the combinatorics in the teaching of mathematics in Bulgaria is presented. At the beginning of section 2, combinatorial compounds, included in the Mathematics curriculum in Bulgaria, are reviewed. A new methodical scheme for the introduction of basic combinatorial compounds is proposed. Then, an alternative approach for solving combinatorial problems in teaching and learning mathematics is analyzed in detail. The innovative methods are illustrated with four particular sample tasks in section 3. Certain conclusions on the specific issues are drawn at the end of the article.
