3. A set of 55 dominoes contains all possible combinations of two numbers from 0 to 9, including dominoes with the same number on both ends. (In the image, three dominoes are shown: a domino with the numbers 3 and 4, a domino with the numbers 0 and 9, and a domino with the number 3 on both ends.) How many dots are there in total in the entire set of dominoes?

![](https://cdn.mathpix.com/cropped/2024_06_04_841f52b4ffb037ad799bg-15.jpg?height=326&width=782&top_left_y=168&top_left_x=455)