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 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 ?      
       
  1. Given argument is logically $\textit{valid}$      
          
  2. Given argument is logically $\textit{invalid}$    
         
  3. If P represents the conjunction of the premises and $Q$ represents the conclusion for the given argument then $P \rightarrow Q$ is a tautology     
           
  4. Validity of the given argument can't be determined

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A : Logic is difficult.
B : Many students like logic.
C : Mathematics is easy.

Argument : Premises :- (A V B’) and (C → A’). Conclusion :- (B → C’).
We can write this argument as (A V B’) $\wedge$ (C → A’) → (B → C’).

=> (A V B’) $\wedge$ (C → A’) → (B → C’)  [(A V B’) $\equiv$ (B → A)  and  (C → A’) $\equiv$ (A → C’)]
=> (B → A) $\wedge$ (A → C’) → (B → C’)  
This is a valid argument because the argument form is hypothetical syllogism. (A V B’) $\wedge$ (C → A’) → (B → C’) is tautology because this is a valid argument.

Ans is A,C.
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