💯 Finding the Greatest Coefficients of Binomial Expansions 1/2

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The greatest coefficient of a binomial expansion refers to the coefficient of the term with the highest degree in the expansion of a binomial raised to a certain power. For example, in the expansion of (a + b)^n, the greatest coefficient is the coefficient of the term a^n, which is given by the binomial coefficient "n choose k" (nCk) with k = n. This coefficient is equal to n!/(n-k)!k! and represents the number of ways to choose k items from a set of n items.
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