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(C) In logic,a conditional statement $P \implies Q$ is true if $P$ is false,regardless of the truth value of $Q$.$(A)$ $4+3=8$ is false. Since the ant

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$(A)$ and $(C)$ are true,while $(B)$ is false

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(C) In logic,a conditional statement $P \implies Q$ is true if $P$ is false,regardless of the truth value of $Q$.$(A)$ $4+3=8$ is false. Since the antecedent is false,the implication $(A)$ is true.$(B)$ $6+4=10$ is true,but the consequent 'the moon is flat' is false. Since a true antecedent implies a false consequent,$(B)$ is false.$(C)$ The antecedent is 'both $(A)$ and $(B)$ are true'. Since $(B)$ is false,the conjunction 'both $(A)$ and $(B)$ are true' is false. $A$ conditional with a false antecedent is true. Thus,$(C)$ is true.Therefore,$(A)$ and $(C)$ are true,while $(B)$ is false.

Consider the following statements:
$(A)$ If $4+3=8$,then $5+3=9$
$(B)$ If $6+4=10$,then the moon is flat
$(C)$ If both $(A)$ and $(B)$ are true,then $5+6=17$
Which of the following statements is correct?

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Consider the following statements:$(A)$ If $4+3=8$,then $5+3=9$$(B)$ If $6+4=10$,then the moon is flat$(C)$ If both $(A)$ and $(B)$ are true,then $5+6=17$Which of the following statements is correct?