2 creation accounts

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 contradition 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.