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Probability Calculation - nPm Notation - Simple Multiplication Over Single (Level 1)

This math topic focuses on calculating probabilities using the permutation notation \(n P m\), and simple multiplication of such expressions. The problems require evaluating complex fractions composed of products of permutations divided by another permutation. This involves understanding and applying the formula for permutations to simplify and compute the ratio, which is crucial for solving probability problems in probability and statistics, specifically within the context of permutations and combinations.

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Probability Calculation - nPm Notation - Simple Multiplication Over Single

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What is the value of this probability expression?

(6P2)â‹…(2P2)3P2\frac{({_6\text{P}_2}) \cdot ({_2\text{P}_2})}{_3\text{P}_2}