Question: Given two compound statements and Y , their truth tables are said to be equal if the entries of each TOW of their final columns

Given two compound statements and Y

,

their truth tables are said to be equal if the entries of each TOW of their final columns match; assuming the truth values for the propositional variables also match for each row

.

The truth tables are different otherwise For example, the truth tables for P

^

Q and Pv Q are different

,

while the truth tables for P

^

Q and

(

^

)

(

^-

)

are equal:

Q P

^

Q Q Pv Q Q

7

P P

^-

P P

^

(

^

)

(

^-

)

T T F F F FF f IVF F

How many different truth tables of compound statements are there that involve the statements P and Q

?

Briefly explain why:

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