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​​​​Statements:

  1. All heroes are winners.
  2. All winners are lucky people.


Inferences:

  1. All lucky people are heroes.
  2. Some lucky people are heroes.
  3. Some winners are heroes.


Which of the above inferences can be logically deduced from statements $1$ and $2$?

  1. Only $\text{I}$ and $\text{II}$
  2. Only $\text{II}$ and $\text{III}$
  3. Only $\text{I}$ and $\text{III}$
  4. Only $\text{III}$

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