10. (10 points) The bus route number is displayed as a three-digit number on a digital display, where each digit is shown using seven fluorescent tubes arranged horizontally and vertically, as shown in the figure. A certain bus has two broken fluorescent tubes that do not light up, and the displayed route number is “351”. What are the possible route numbers for this bus?
【Analysis】The hundred's digit 3 has one segment broken, it could be 9; with two segments broken, it could be 8; the ten's digit 5, with one segment broken, could be 6 and 9; with two segments broken, it could be 8; the unit's digit 1, with one segment broken, could be 7; with two segments broken, it could be 4; in the unlit segments, they might all be supposed to be unlit, or one segment that should be lit is not, or two segments that should be lit are not. By considering these three possible scenarios in detail, we can find the solution.

【Solution】Solution: Consider three scenarios.
First scenario: None of the segments in the bus route number are broken. There is only one possible bus route number: 351.
Second scenario: One segment in the bus route number is broken.
If the first digit is broken, the possible digit is 9, and the bus route number could be 951;
If the second digit is broken, the possible digits are 6, 9, and the bus route number could be 361, 391;
If the third digit is broken, the possible digit is 7, and the bus route number could be 357.
Third scenario: Two segments in the bus route number are broken.
If both are broken in the first digit, the possible digit is 8, and the bus route number could be 851;
If both are broken in the second digit, the possible digit is 8, and the bus route number could be 381;
If both are broken in the third digit, the possible digit is 4, and the bus route number could be 354;
If one is broken in the first and second digits, the first digit could be 9, and the second digit could be 6, 9, and the bus route number could be 961, 991;
If one is broken in the first and third digits, the first digit could be 9, and the third digit could be 7, and the bus route number could be 957;
If one is broken in the second and third digits, the second digit could be 6, 9, and the third digit could be 7, and the bus route number could be 367, 397.

Therefore, there are 13 possible bus route numbers:
351, 354, 357, 361, 367, 381, 391, 397, 851, 951, 957, 961, 991.
Answer: The bus route number has 13 possible values.