Determine if the following is a valid deduction rule:

$(P^{{?}^{?}}Q)R$

notPvvnotQ

:$.,$notR

First, make a truth table for the relevant statements. $($You might want to complete the truth table on paper

so you can make columns for intermediate steps; just record the final columns here.$)$

Is the deduction rule valid?

A$.$ No$,$ because there is a row in which both premises are true but the conclusion is false.

B$.$ No$,$ because the columns for the two premises are not identical.

C$.$ Yes, because in every row that the conclusion is true, one of the premises is true.

D$.$ Yes, because there is a row in which the conclusion and both premises are true.

E$.$ Impossible to determine without more information.