A computer program randomly generates a digit from $0$ to $9$. What is the sample space for this experiment, and how many possible outcomes are there?

Sample space: $\{0,1,2,3,4,5,6,7,8,9\}$

Number of possible outcomes: $10$

Sample space: $\{0,1,2,3,4,5,6,7,8,9\}$

Number of possible outcomes: $9$

Sample space: $\{1,2,3,4,5,6,7,8,9\}$

Number of possible outcomes: $10$

Sample space: $\{1,2,3,4,5,6,7,8,9\}$

Number of possible outcomes: $9$