and yes the bible does contradict itself sometimes. I, however, think this is proof of its legitimacy rather than something that discredits it. It shows that it different people gave their views on the same events (Jesus' life for one) If everyone in the whole book agreed on everything, then we would have an issue.
As far as I know though, the bible says God created man and woman, but it doesn't say anything about it being at the same time. Which means there is no contradiction, at least in that part.