They are not mutually exclusive. The events as described in the Bible could have happened and then evolution took the forms in Eden and evolved them to those we see today.
As everyone else has said, these are completely different issues.
Except that the great flood wiped out all humans except one extended family.
Not only that but you gotta explain the massive amount of genetic diversity required to sustain a population. If you took 2 random people, put them into an isolated colony where all they had to do was eat, sleep, and breed.... you'd have a dead colony in about 100 years or so.
Of course, bible guys counter this with "Adam and Eve were perfect and had perfect DNA which had all the possible combination of human genetics within them". Which I then counter: So where did it go?
Now, the creation story could be something else...
It could be the results of primitive humans being told the origins of civilization by a highly advanced species.