Final answer:
To order a dozen donuts with at least one of each kind from 5 different kinds of donuts, you can choose from 600 different boxes.
Step-by-step explanation:
To determine how many different boxes of a dozen donuts you can order, you need to consider the number of options for each kind of donut. Since you want at least one of each kind, you have 5 choices for the first donut, 4 choices for the second donut, and so on, until you have 1 choice for the last donut. Therefore, the number of different boxes of a dozen donuts you can order is 5 x 4 x 3 x 2 x 1 = 120. However, since there are 5 different kinds of donuts, there are 5 different boxes you can choose from each of these 120 combinations. Therefore, the total number of different boxes of a dozen donuts you can order is 120 x 5 = 600.