If the truth value of the expression [(p q) (q r) ( r)] (p q) is False then truth values of p, q, r are respectively.

Step-by-step solution

Let the expression be E = [(p q) (q r) ( r)] (p q) . Since E is false, the antecedent must be true and the consequent false. p q , q r , and r are all true. r true implies r is false. Given q r is true and r is false, q must be false. p q is true and q is false, therefore p is true. p = true , q = false , r = false . These values satisfy the condition (p q) being false. Comparing with the options, the correct assignment corresponds to option B.