This math topic focuses on developing skills in determining the number of distinct ways to order sets of 4 cards, some of which are repeated, using multiplicative combinations. Students are guided through calculating possible permutations by addressing factorial notation and division to account for repeated items, consistent with introductory principles in probability and statistics. The problems require foundational understanding of the binomial theorem, as it relates to organizing combinations and permutations. Each problem set provides multiple-choice answers formulated in mathematical expressions, enhancing computational and problem-solving skills relevant to probability applications.
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How many distinct ways can these cards be ordered? Show as a multiplication.