  We diagonalize the transfer matrix of a solvable vertex model constructed by
combining the vector representation of U_q[Sl(n|m)] and its dual by means of
the quantum inverse scattering framework. The algebraic Bethe ansatz solution
consider all (n+m)!/(n!m!) possibilities of choosing the grading for arbitrary
values of n and m. This allows us to derive the transfer matrix eigenvalues and
the respective Bethe ansatz equations for general grading choices.
