  In this article we explicitly compute the number of maximal subbundles of
rank $k$ of a generically stable bundle of rank $r$ and degree $d$ over a
smooth projective curve $C$ of genus $g\ge 2$ over $\C$, when the dimension of
the quot scheme of maximal subbundles is zero. Our method is to describe the
this number purely in terms of the Gromov invariants of the Grassmannian and
then use the formula of Vafa and Intriligator to compute them.
