3. Jackmerius is taking 8 courses this year. How many ways can he select his block A, B, C, D, classes for first semester?

## Step 1: Understanding the Problem### Jackmerius needs to choose 4 courses out of 8 for his first semester. The order in which he chooses the courses matters, as different orderings represent different block schedules (A, B, C, D). This is a permutation problem.## Step 2: Applying the Permutation Formula### We can use the permutation formula to solve this. The formula for permutations is given by , where is the total number of items and is the number of items being chosen. In this case, (total courses) and (courses chosen for the first semester). So, we need to calculate .