Composition
The fallacy of composition is when you say that because each part is a certain way, the whole thing must be that way too. Properties of the parts don't always add up to the same property in the whole—especially when the whole depends on how the parts interact. A team of great individuals might still play poorly as a team; a pile of cheap parts might not make a cheap or good machine.
Examples
Every player on the team is great. So the team is great.
Each scene in the film is well shot, so the film is well made.
Every ingredient is fresh, so the dish will be delicious.