This math topic focuses on calculating probabilities using binomial notation. The problems involve determining the values of probability expressions based on combinations, articulated through binomial coefficient calculations (e.g., "n choose k"). These expressions often feature multiplication of binomial coefficients, framed as "1 over [expression]". The complexity primarily hinges on applying permutations and combinations principles to solve probability calculations, which are foundational concepts in probability and statistics.

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Probability Calculation - Binomial Notation - One Over Simple Multiplication


What is the value of this probability expression?

1(43)(44)\frac{1}{{4\choose3} \cdot {4\choose4}}

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