Final answer:
A truth table for three variables has 8 possible combinations, calculated by raising the number of possible states for a single variable (2) to the power of the number of variables (3), resulting in 2^3 or 8.
Step-by-step explanation:
The truth table for three variables has 8 possible combinations. This is derived from the fact that each variable can have 2 possible states (true or false), and thus with three variables we calculate the combinations as 23 which equals 8. To visualize this, we can label the variables as A, B, and C. The combinations would be:
TTT (True, True, True)TTF (True, True, False)TFT (True, False, True)TFF (True, False, False)FTT (False, True, True)FTF (False, True, False)FFT (False, False, True) FFF (False, False, False) Therefore, the correct answer to the question is c) 8.