The maximum number of compound propositions,o | vedclass

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(A) Let the given propositions be $C_1, C_2, \dots, C_9$. We test the truth values for $p, q, r, s$ to maximize the number of true propositions.If we

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$9$

Vedclass · Answer

(A) Let the given propositions be $C_1, C_2, \dots, C_9$. We test the truth values for $p, q, r, s$ to maximize the number of true propositions.If we assign $p=F, q=F, r=T, s=F$:$C_1: F \vee T \vee F = T$$C_2: F \vee F \vee T = T$$C_3: F \vee T \vee F = T$$C_4: T \vee F \vee F = T$$C_5: T \vee F \vee T = T$$C_6: T \vee F \vee T = T$$C_7: F \vee T \vee T = T$$C_8: F \vee F \vee T = T$$C_9: T \vee T \vee T = T$All $9$ propositions are true for this assignment.

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