diff --git a/Intermediate/Combinatorics/main.tex b/Intermediate/Combinatorics/main.tex index 8249dc5..afeae0f 100755 --- a/Intermediate/Combinatorics/main.tex +++ b/Intermediate/Combinatorics/main.tex @@ -200,7 +200,8 @@ \problem{} Now, derive the \textit{multinomial coefficient} $\binom{n}{k_1,k_2,...,k_m}$. \par \vspace{1mm} - The multinomial coefficient tells us how many distinct ways we can choose $n$ objects from a set which has $m$ classes, and where each class $i$ contains $k_i$ identical objects. \par + The multinomial coefficient tells us how many distinct ways there to arrange $n$ objects + of $m$ classes, and where each class $i$ contains $k_i$ identical objects. \par \hint{ In \ref{manyballs}, $n = 5$ and $(k_1, k_2, k_3, k_4) = (8, 3, 6, 4)$. \\ So, the solution to \ref{manyballs} should be given by the multinomial coefficient $\binom{5}{8,3,6,4}$.