Answer to Question #303545 in Discrete Mathematics for meher

Question

How many assignments of truth values to p; q; r and w are there for which

((p → q) → r) → w is true? Guess a formula in terms of the number of variables.

Answer 1

Truth table

So, there are totally 11 such assignments

Formula in perfect conjunctive normal form

$F(p,q,r,w)=(p\lor q\lor \neg r \lor w)\land(p\lor \neg q\lor \neg r \lor w)\land (\neg p\lor q\lor r \lor w)\land (\neg p\lor q\lor \neg r \lor w)\land(\neg p \lor \neg q\lor \neg r \lor w)$