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(B) Given: $p = T, q = T, r = F, s = F$.$a: \sim(p \wedge \sim r) \vee(\sim q \vee s)$$\equiv \sim(T \wedge \sim F) \vee(\sim T \vee F)$$\equiv \sim(T

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$F, F, F$

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(B) Given: $p = T, q = T, r = F, s = F$.$a: \sim(p \wedge \sim r) \vee(\sim q \vee s)$$\equiv \sim(T \wedge \sim F) \vee(\sim T \vee F)$$\equiv \sim(T \wedge T) \vee(F \vee F)$$\equiv \sim(T) \vee(F)$$\equiv F \vee F \equiv F$$b: (\sim q \wedge \sim r) \leftrightarrow(p \vee s)$$\equiv (\sim T \wedge \sim F) \leftrightarrow(T \vee F)$$\equiv (F \wedge T) \leftrightarrow(T)$$\equiv F \leftrightarrow T \equiv F$$c: (\sim p \vee q) \rightarrow(r \wedge \sim s)$$\equiv (\sim T \vee T) \rightarrow(F \wedge \sim F)$$\equiv (F \vee T) \rightarrow(F \wedge T)$$\equiv T \rightarrow F \equiv F$Thus,the truth values are $F, F, F$.

If truth values of statements $p, q$ are true,and $r, s$ are false,then the truth values of the following statement patterns are respectively:
$a: \sim(p \wedge \sim r) \vee(\sim q \vee s)$
$b: (\sim q \wedge \sim r) \leftrightarrow(p \vee s)$
$c: (\sim p \vee q) \rightarrow(r \wedge \sim s)$

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If truth values of statements $p, q$ are true,and $r, s$ are false,then the truth values of the following statement patterns are respectively:$a: \sim(p \wedge \sim r) \vee(\sim q \vee s)$$b: (\sim q \wedge \sim r) \leftrightarrow(p \vee s)$$c: (\sim p \vee q) \rightarrow(r \wedge \sim s)$