Profession Lineup
Lou, Mary, and Sue are standing side by side in a line. They are an artist, barber, and carpenter, though not necessarily in that order.
Exactly one of the following statements is false:
1. The barber is standing next to the carpenter.
2. The carpenter is standing next to Lou.
3. The artist is standing in the middle.
4. Mary is standing next to the barber.
5. Sue and the barber are standing at opposite ends.
What are each of their professions?