﹩N_{c}﹩ plotted vs. absolute magnitude for the Millennium simulation, for pairs in five ranges of projected separation. As with SDSS, the ﹩N_{c}﹩ distribution is found to be approximately flat for the smallest pair separations. Over the range ﹩-22< M_{r}< -18﹩, the mean ﹩N_{c}﹩ for close pairs is ﹩0.0183\pm 0.0001﹩, which is about 15% lower than found for SDSS. The Millennium ﹩N_{c}﹩ distribution steepens toward the faint end as pair separation increases. This is similar to what was seen for SDSS, but is considerably steeper.