If the inverse of the conditional statement $p \to (\sim q \wedge \sim r)$ is false,then the respective truth values of the statements $p, q,$ and $r$ are:

  • A
    $F, F, F$
  • B
    $T, F, T$
  • C
    $T, T, F$
  • D
    $T, T, T$

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The statement pattern $(p \wedge q) \wedge [\sim r \vee (p \wedge q)] \vee (\sim p \wedge q)$ is equivalent to $......$

Let $p$ and $q$ denote the following statements:
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