
\begin{center}
\begin{longtable}{rrl}
\caption{Number of possible partitions depending on the sample size $n$ and
number of clusters $k$. \label{CA:perm}} \\
$n$   & $k$ & Number of possible partitions \\ \hline
$15$  & $3$ & $2,375,101$  \\ 
$20$  & $4$ & $45,232,115,901$  \\ 
$25$  & $8$ & $690,223,721,118,368,580$  \\ 
$100$ & $5$ & $10^{68}$ \\ 
\end{longtable}
\end{center}
