The problem it's in my native language which isn't English so this is my translation:
There are 12 balls with different colors (12 colors) and you need to pick 5 balls, which at least 1 is red and you can't have more than 2 balls of same color. On how many ways can you pick the balls (1 by 1). Example: Red Red Green Blue Yellow or Green Red Blue Blue Purple
Edit: New translation: You go in a ice cream store. There are 12 different flavors you can pick from. You want to buy ice cream with 5 ice-cream balls/flavors, but you must have(pick) at least one chocolate flavor/ball and you cannot have more than 2 flavors(balls) of the same kind. How many ways there are to build(buy) the ice-cream?
This is my solution which I don't know if its correct:
You must pick at least 1 red ball so it can be on 5 different spots. Then you can pick from all 12 balls and after that you can pick 11 caz red could be in those 12 so it can't be picked again. Again 11 (for the 4th spot) and in the end 10 ways. So in the end we got 5*12*11*11*10 = 7260 ways the you can pick the balls.