Let p1, p2, p3... and q1, q2, q3... be propositions.
(a): How many rows does the truth table for a compound statement involving p1, ...pn and q1, ...qn have?
(b): In how many rows of its truth table will p1 ∧ p2 ∧ ... ∧ pn be true?
(c): In how many rows of its truth table will p1 ∨ p2 ∨ ... ∨ pn be true?
(d): In how many rows of its truth table will (p1 ∧ q1) ∨ (p2 ∧ q2) ∨ ... ∨ (pn ∧ qn) be true?
(e): In how many rows of its truth table will (p1 ∨ q1) ∧ (p2 ∨ q2) ∧ ... ∧ (pn ∨ qn) be true?