Statements:
- All heroes are winners.
- All winners are lucky people.
Inferences:
- All lucky people are heroes.
- Some lucky people are heroes.
- Some winners are heroes.
Which of the above inferences can be logically deduced from statements $1$ and $2$?
- Only $\text{I}$ and $\text{II}$
- Only $\text{II}$ and $\text{III}$
- Only $\text{I}$ and $\text{III}$
- Only $\text{III}$