Genesis 2

My husband recently had a discussion with one of his professors regarding Hebrew scriptures in Genesis. My husband has concluded that because there seems to be [contradiction] between the order of creation in Genesis chapters 1 and 2 that the Bible is not flawless. I do not share his conclusion and would like to have an answer for him. The scriptures in question are Genesis 1:1–2:3 vs. Genesis 2:4-22. He has claimed to be a believer for 10 years, but now believes that man has mucked up the Word of God and that the Bible is not completely accurate and has flaws. Could you help me?