  Using recently-developed diagrammatic techniques, I derive some general
results concerning baryons in the $1/N$ expansion, where $N$ is the number of
QCD colors. I show that the spin-flavor relations which hold for baryons in the
large-$N$ limit, as well as the form of the corrections to these relations at
higher orders in $1/N$, hold even if $N_F / N \sim 1$, where $N_F$ is the
number of light quark flavors. I also show that the amplitude for a baryon to
emit $n$ mesons is $O(1 / N^{n / 2 - 1})$, and that meson loops attached to
baryon lines are unsupressed in the large-$N$ limit, independent of $N_F$. For
$N_F > 2$, there are ambiguities in the extrapolation away from $N = 3$ because
the baryon flavor multiplets for a given spin grow with $N$. I argue that the
$1/N$ expansion is valid for baryons with spin $O(1)$ and {\it arbitrary}
flavor quantum numbers, including e.g. baryons with isospin and/or strangeness
$O(N)$. This allows the formulation of a large-$N$ expansion in which it is not
necessary to identify the physical baryons with particular large-$N$ states.
$SU(N_F)$ symmetry can be made manifest to all orders in $1/N$, yet group
theory factors must be evaluated explicitly only for $N_F = N = 3$. To
illustrate this expansion, I consider the non-singlet axial currents, baryon
mass splittings, and matrix elements of $\mybar ss$ and $\mybar s \gam_\mu
\gam_5 s$ in the nucleon.
