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Diffstat (limited to 'math/tables/twelvefold.tex')
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1 files changed, 32 insertions, 0 deletions
diff --git a/math/tables/twelvefold.tex b/math/tables/twelvefold.tex new file mode 100644 index 0000000..7f7e27a --- /dev/null +++ b/math/tables/twelvefold.tex @@ -0,0 +1,32 @@ +\begin{expandtable} +\begin{tabularx}{\linewidth}{|C|CICICIC|} + \hline + Bälle & identisch & verschieden & identisch & verschieden \\ + Boxen & identisch & identisch & verschieden & verschieden \\ + \hline + -- & + $p_k(n + k)$ & + $\sum\limits_{i = 0}^k \stirlingII{n}{i}$ & + $\binom{n + k - 1}{k - 1}$ & + $k^n$ \\ + \grayhline + + \makecell{Bälle pro\\Box $\geq 1$} & + $p_k(n)$ & + $\stirlingII{n}{k}$ & + $\binom{n - 1}{k - 1}$ & + $k! \stirlingII{n}{k}$ \\ + \grayhline + + \makecell{Bälle pro\\Box $\leq 1$} & + $[n \leq k]$ & + $[n \leq k]$ & + $\binom{k}{n}$ & + $n! \binom{k}{n}$ \\ + \hline + \multicolumn{5}{|l|}{ + $[\text{Bedingung}]$: \lstinline{return Bedingung ? 1 : 0;} + } \\ + \hline +\end{tabularx} +\end{expandtable}
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