  The two ways of counting microscopic states of black holes in the U(1)
formulation of loop quantum gravity, one counting all allowed spin network
labels j,m and the other only m labels, are discussed in some detail. The
constraints on m are clarified and the map between the flux quantum numbers and
m discussed. Configurations with |m|=j, which are sometimes sought after, are
shown to be important only when large areas are involved. The discussion is
extended to the SU(2) formulation.
