  We present analytic and numerical calculations on the bipartite entanglement
entropy in fractional quantum Hall states of the fermionic Laughlin sequence.
The partitioning of the system is done both by dividing Landau level orbitals
and by grouping the fermions themselves. For the case of orbital partitioning,
our results can be related to spatial partitioning, enabling us to extract a
topological quantity (the `total quantum dimension') characterizing the
Laughlin states. For particle partitioning we prove a very close upper bound
for the entanglement entropy of a subset of the particles with the rest, and
provide an interpretation in terms of exclusion statistics.
