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Binomial Coefficients and Combinatorics
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What is the formula for calculating the binomial coefficient of n and k, denoted as (\binom{n}{k})?
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💡 Explanation:
The binomial coefficient (\binom{n}{k}) represents the number of ways to choose k items from a set of n distinct items, without regard to order. The formula (\binom{n}{k} = \frac{n!}{k!(n-k)!}) is derived from the fundamental principle of counting.