Determine whether each of these compound propositions is satisfiable.

a) (p ∨ ¬q) ∧ (¬p ∨ q) ∧ (¬p ∨ ¬q)

b) (p → q) ∧ (p → ¬q) ∧ (¬p → q) ∧ (¬p → ¬q)

c) (p q) ∧ (¬p q)

Determine whether each of these compound propositions is satisfiable.

a) (p ∨ ¬q) ∧ (¬p ∨ q) ∧ (¬p ∨ ¬q)

b) (p → q) ∧ (p → ¬q) ∧ (¬p → q) ∧ (¬p → ¬q)

c) (p q) ∧ (¬p q)