This math topic focuses on calculating probabilities using combinations (denoted as nCm or "n choose m") and simple division. The problems involve evaluating expressions to determine probability values and require an understanding of permutations and combinations. The complexity of the questions revolves around executing mathematical reasoning through manipulating factorial-based formulas which define combinations, and then simplifying fractions to ascertain the resultant probabilities. Each question provides multiple-choice answers, requiring the application of combinatory calculations to select the correct answer.
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What is the value of this probability expression?