Scientific American published in 2002 already 15 Answers when discussing evolution with a creationist, although all to often creationists are not open to convincing arguments.
For them it comes down to faith. In their eyes you do your little dance knocking one of their argument after the other out of the ballpark, but it doesn't matter. They smile and look down at you thinking: Poor little lost soul, if only he had the insight/faith that I have.
What they don't realize is, that the beauty of evolution does not exclude spirituality or faith.
These 15 arguments are not really for the die hard creationists, but for the people on the fence, that are just forming their opinion may be in the midst of creationists. It's a refreshing reality check:
Time and again, science has shown that methodological naturalism can push back ignorance, finding increasingly detailed and informative answers to mysteries that once seemed impenetrable: the nature of light, the causes of disease, how the brain works. Evolution is doing the same with the riddle of how the living world took shape. Creationism, by any name, adds nothing of intellectual value to the effort.