Pamela Anderson’s date on New Year’s Eve was Chuck Zito, but a source says she spent much of the evening trying to avoid the “Oz” star.

“She started out the evening going into [the L.A. nightclub] Tao, flashing a ringless finger to the press,” says a source. “She smiled for some of the cameras, but was not in the best of moods. Then, later in the evening, she was flirting with everyone around her except Zito, including Usher, Pauly Shore and Larry Birkhead [the photographer who is claiming paternity of Anna Nicole Smith’s daughter],” according to a source.

“[Zito] was trying to get all sexy with her and unbuttoned his shirt to expose a tattoo and rubbed her exposed thigh, but Pam just looked away,” says a source. “At one point, he sort of put Pam in a playful choke-hold, but she seemed mostly annoyed and flirted with the other guys while she was in the choke-hold. She may like the bad-boy type, but even she has limits.”