A contingency is a logical statement that has both satisfying and falsifying truth assignments. In other words, it is possible to assign T/F values to the variables in the statement as to make the whole statement true. It is also possible to assign T/F to the variables differently and make the whole statement false.

For the statement form below, first, state whether it is a tautology, contradiction or contingency.

((pq)r)(r(pq))((pq)r)(r(pq))

Second, justify your answer. For instance, if you say it is a contingency, you can justify your answer by assigning T/F values to p, q, r variables to make the whole statement false. Then assign T/F values to p,q,r variables differently to make the whole statement true. List both assignments in your answer. If you believe it is a tautology or a contradiction you can supply the entire truth table for the statement and argue that all lines are T or F.