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What is the number of all possible k clusters for N data points?
We denote the number as $S(N,k)$ and recall obvious special cases as follows.
$S(N,1)=1$: All points belong to one cluster.
$S(N,N)=1$: Each point is in its own cluster.
$S(N,k)=0$, if $k>N$: It is ...
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