  We answer some questions related to multiplicity formulas by Rosenthal and
Zelevinsky and by Lakshmibai and Weyman for points on Schubert varieties in
Grassmannians. In particular, we give combinatorial interpretations in terms of
nonintersecting lattice paths of these formulas, which makes the equality of
the two formulas immediately obvious. Furthermore we provide an alternative
determinantal formula for these multiplicities, and we show that they count
semistandard tableaux of unusual shapes.
