(Solved): (a) Complete the following truth table. Use T for true and F for false. You may add more columns, b ...

(a) Complete the following truth table. Use $$T$$ for true and $$F$$ for false. You may add more columns, but those added columns will not be graded. (b) is the statement $$(?q?p)??(?q?p)$$ a tautology, a contradiction, or neither? Why? Choose the best answer. The statement is a tautology. This is because it is true for all possible true-false combinations of $$p$$ and $$q$$. The statement is a tautology. This is because it is true for some true-false combinations of $$p$$ and $$q$$ and false for others. The statement is a contradiction. This is because it is false for all possible true-false combinations of $$p$$ and $$q$$. The statement is a contradiction. This is because it is true for some true-false combinations of $$p$$ and $$q$$ and false for others. The statement is neither a tautology nor a contradiction.