17. At 10:28:06, the time displayed on a digital watch is as shown in the figure. During the time from 10:00 to 10:30, the number of times when all six digits on the digital watch are different is $\qquad$.

保留源文本的换行和格式，直接输出翻译结果如下：

17. At 10:28:06, the time displayed on a digital watch is as shown in the figure. During the time from 10:00 to 10:30, the number of times when all six digits on the digital watch are different is $\qquad$.
17. An electronic watch displays the time as shown in the figure at 10:28:06. During the time from 10:00 to 10:30, there are 90 times when all six digits on the electronic watch are different.
【Analysis】During the time from 10:00 to 10:30, to make all six digits on the electronic watch different, the first three digits are clearly $1,0,2$. (If it is 1, it will repeat with the preceding 1.) Let the time be $10: 2 a: b c$, where $b$ can be chosen from 3, 4, 5, and $a, c$ can be chosen from 3, 4, 5, 6, 7, 8, 9. First, determine $b$, with 3 choices; then determine $a$, with 6 choices; finally determine $c$, with 5 choices. Therefore, during the time from 10:00 to 10:30, the number of times when all six digits on the electronic watch are different is: $3 \times 6 \times 5=90$ (times).
【Solution】Solution: During the time from 10:00 to 10:30, to make all six digits on the electronic watch different, the first three digits are clearly $1,0,2$.
Let the time be $10: 2 a: b c$,
where $b$ can be chosen from 3, 4, 5,
and $a, c$ can be chosen from 3, 4, 5, 6, 7, 8, 9.
First, determine $b$, with 3 choices; then determine $a$, with 6 choices; finally determine $c$, with 5 choices.
Therefore, during the time from 10:00 to 10:30, the number of times when all six digits on the electronic watch are different is: $3 \times 6$ $\times 5=90$ (times).