  We study the full counting statistics for the transmission of two identical
particles with positive or negative symmetry under exchange for the situation
where the scattering depends on energy. We find that, besides the expected
sensitivity of the noise and higher cumulants, the exchange symmetry has a huge
effect on the average transmitted charge; for equal-spin exchange-correlated
electrons, the average transmitted charge can be orders of magnitude larger
than the corresponding value for independent electrons. A similar, although
smaller, effect is found in a four-lead geometry even for energy-independent
scattering.
