Frederico has to sign up for 4 classes, one from each category. There are 4 literature classes, 2 math classes, 6 history classes, and 3 film classes. To find out the number of options, we can use the Fundamental Counting Principle.
Therefore, the number of possible combinations of classes in the first semester with one literature class chosen, one math class chosen, one history class chosen, and one film class chosen is the product of these four values.
4 * 2 * 6 * 3 = 144
