How many rows appear in a truth table for each of these compound propositions?

Step 1 :

The objective of this question is to find the number of rows in given compound proposition .

Step 2 :

To find the number of rows in the truth table use the following statement , here n is the no. of proposition .

Number of rows = 2n

Each symbol can take two value (either true or false ), since there are only three symbol (a,b,c), then the number of rows is 8 = 23

Step 3 :

in this statement (p , q) has 2 symbols ,

So, the number of rows = 22 = 4 rows.