This math topic focuses on foundational concepts in probability and statistics, specifically concerning permutations and ways to order sets of five cards with no repeats. Each problem asks the student to calculate the number of possible arrangements of the five cards and requires the expression of the answer as a series of multiplications, potentially divided by factorial or other products depending on the scenario. The questions enhance understanding of factorial calculations and the principles of counting, central in probability studies.
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How many distinct ways can these cards be ordered? Show as a multiplication.