I'm thinking something happened that we weren't privy too. Like one or two people weren't 100% with the plan (even though it made complete sense).
I want to give Christina the benefit of the doubt. She seems bright, and I would hope that she was aware of her position with the rest of the girls. I'm guessing Tarzan and Alicia made it clear that they weren't down with Troy's plan, so Christina just gave up, and went along with the girls.