Abstract

In this paper, we study the combinatorial set of closed questionnaire answers with a specified minimum number of correct answers. For this combinatorial set, we obtain an explicit formula for its cardinality function. Using the obtained cardinality function, we construct the corresponding AND/OR tree structure and determine the bijecion rules for this AND/OR tree and the considered combinatorial set. In addition, we develop ranking and unranking algorithms for the combinatorial set.

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