Mr. Stein is ordering a two-course dessert at a restaurant. For each course, he can choose to eat pie, cake, rødgrød, and crème brûlée, but he doesn't want to have the same dessert twice. In how many ways can Mr. Stein order his meal? (Order matters.)
1. Mr. Stein has 4 options for the first course: pie, cake, rødgrød, and crème brûlée.
2. Since he doesn't want to have the same dessert twice, he will have 3 remaining options for the second course after choosing the first dessert.
3. Therefore, the number of ways to choose and order the two desserts is calculated by multiplying the number of choices for each course:
   \[
   4 \text{ (choices for the first course)} \times 3 \text{ (choices for the second course)} = 12
   \]

The final answer is \(\boxed{12}\).