This math topic covers the application of factorial equations in calculating the number of distinct ways to order a set of cards, specifically dealing with scenarios where there are repetitions in the set. The problems involve converting real-world situations into factorial expressions to find the permutations of card orders, emphasizing the use of factorial notation and simplifying expressions with repeated elements. This set of problems is ideal for those beginning to learn about probability, permutations, and factorial notations in the context of probability and statistics.
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How many distinct ways can these cards be ordered? Show as a factorial.