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Discrete Mathematics: Why are there 256 different truth tables for compound propositions involving only propositional variables P and Q and R?
Three propositional variables P, Q and R have 2 3 = 8 assignments, and the propositional formula corresponding to each assignment has 2 truth values, or 1 or 0, so 2 8 = 256 truth tables can be generated.

Conclusion: A compound proposition with n propositional variables has 2 (2 n) truth tables.