This math topic focuses on probability calculations involving the arrangement of five cards with repeated elements. It covers how to solve problems by expressing the number of distinct ways to order these cards in factorial notation, involving division of factorials to account for repeated elements. The problems are set within the broader context of probability and statistics, introducing binomial notation. The questions progressively address different scenarios of repetition and permutation, with answers provided as multiple-choice options displayed in LaTeX format. This topic helps develop skills in combinatorial reasoning and understanding factorial calculations relating to probability concepts.
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How many distinct ways can these cards be ordered? Show as a factorial.