Consider the statement below.
A person who is radical $(R)$ is electable $(E)$ if he/she is conservative $(C)$, but otherwise not electable.
Few probable logical assertions of the above sentence are given below.
- $(R \wedge E) \Leftrightarrow C$
- $R \rightarrow (E \leftrightarrow C)$
- $R \Rightarrow ((C \Rightarrow E) \vee \neg E)$
- $(\neg R \vee \neg E \vee C) \wedge (\neg R \vee \neg C \vee E)$
Which of the above logical assertions are true?
Choose the correct answer from the options given below:
- $(ii)$ only
- $(iii)$ only
- $(i)$ and $(iii)$ only
- $(ii)$ and $(iv)$ only