+1 vote
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How many different truth tables of the compound propositions are there that involve the propositions $p$ & $q$ ?

1. $2$
2. $4$
3. $8$
4. $16$
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Number of different truth table means number of different functions possible with p and q. ...

Now any truth table will contain 4 rows as there are two propositions for which we are making the truth table p and q. ..

Now number of different functions will be the number of ways this 4 rows will be assigned values. ..each row can either be 0 or 1....therefore total possibility equals 2^4= 16

Therefore option d
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