This math topic revolves around the practice of calculating permutations, especially focusing on problems that involve ordering groups of cards with repetitions. It involves the investigative use of factorial mathematics to determine how many distinct ways cards can be arranged, translating these scenarios into multiplicative equations. The material aligns with broader studies in probability and statistics, particularly emphasizing skills with factorial operations used in evaluating permutations and combinations. Each question proposes different scenarios for arranging cards, asking the learner to represent these permutations through specific equations.
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How many distinct ways can these cards be ordered? Show as a multiplication.