The sub shop has 7 different kinds of bread, 4 types of cheese, 4 types of meat, 4 vegetable toppings and 8 types of sauce. Assuming you will pick exactly one of each how many different possibilities are there?

To find the total number of possibilities, we multiply the number of choices for each category.

7 choices of bread * 4 choices of cheese * 4 choices of meat * 4 choices of vegetables * 8 choices of sauce = 7 * 4 * 4 * 4 * 8 = 3584

Therefore, there are 3,584 different possibilities for a sandwich from the sub shop.