Statements:
1. All heroes are winners.
2. All winners are lucky people.
Inferences:
I. All lucky people are heroes.
II. Some lucky people are heroes.
III. 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 $\text{III}$