This math topic explores the permutations of ordering cards, focusing on scenarios where some cards are repeated. It delves into factorials, a fundamental concept in probability and statistics. This set of problems provides practice in calculating the number of distinct ways to organize three cards with at least one repetition, presenting the solutions as multiplication equations involving factorial expressions. Each question offers multiple answer choices formulated as fractional factorial expressions, challenging learners to select the correct arrangement method considering the repetitions.
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How many distinct ways can these cards be ordered? Show as a multiplication.