If $p$ : It rains today, $q$ : I go to school, $r$ : I shall meet any friends and $s$ : I shall go for a movie, then which of the following is the proposition : If it does not rain or if I do not go to school, then I shall meet my friend and go for a movie.

  • A

    $\sim (p \wedge q) \Rightarrow (r \wedge s)$

  • B

    $\sim (p\; \wedge \sim q) \Rightarrow (r \wedge s)$

  • C

    $\sim (p\; \wedge q)\; \Rightarrow (r \vee s)$

  • D

    None of these

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