9. (16 points) A die, with dots on each face numbered from $1 \sim 6$; from a point in space, the number of different combinations of dots that can be seen is  kinds.


9. (16 points) A die, with its faces numbered from $1 \sim 6$, is observed from a point in space. The number of different combinations of numbers that can be seen is \qquad.

【Solution】Solution: The faces of the die are already determined, so from a point in space, there are 3 scenarios: (1) 3 faces can be seen, i.e., from each vertex, there are 8 ways;
(2) 2 faces can be seen, i.e., from each edge, there are 12 ways;
(3) 1 face can be seen, i.e., from each face, there are 6 ways;

In total: $8+12+6=26$ (ways).
Answer: From a point in space, the number of different combinations of numbers that can be seen is 26.
Therefore, the answer is: 26.