The truth table for the proposition p AND q has how many rows?a.1b.2c.3d.4

To determine the number of rows in the truth table for the proposition p AND q, we need to consider all possible combinations of truth values for p and q.

Since there are two variables, p and q, each with two possible truth values (true or false), we can use the principle of multiplication to find the total number of rows in the truth table.

For each possible truth value of p, there are two possible truth values of q. Therefore, the total number of rows in the truth table is 2 multiplied by 2, which equals 4.

So, the correct answer is d. 4.

The truth table for the proposition p AND q has 4 rows. So, the answer is d.4.

Here's why:

A truth table for a proposition involving two variables (like p AND q) has a row for each possible combination of truth values for those variables. Since each variable (p and q) can have two possible truth values (true or false), there are 2*2 = 4 possible combinations of truth values for p and q. Therefore, the truth table for p AND q has 4 rows.