Consider the following argument:
Either logic is difficult, or not many students like it. If mathematics is easy, then logic is not difficult. $\textit{Therefore,}$ if many students like logic, mathematics is not easy.
Which one of the following statements is correct ?
- Given argument is logically $\textit{valid}$
- Given argument is logically $\textit{invalid}$
- If P represents the conjunction of the premises and $Q$ represents the conclusion for the given argument then $P \rightarrow Q$ is a tautology
- Validity of the given argument can't be determined