Pascal’s Formula

Pascal's Formula, also known as Pascal's Identity or Pascal's Rule, is a fundamental concept in combinatorics, particularly in the study of binomial coefficients. It states that for any non-negative integers \( n \) and \( k \), where \( n \geq k \), the following equation holds:

\[ \binom{n}{k} = \binom{n-1}{k-1} + \binom{n-1}{k} \]

This formula demonstrates the relationship between binomial coefficients, which represent the number of ways to choose \( k \) elements from a set of \( _____ _________ ____ _____ _____ _________ _______ ___.
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