Extreme equation problem 

Let’s count the number of each item on the menu separately.

- Number of Entrée Selections: There are 13 entrees that require mean temperature selection and 13 others that do not require mean temperature selection. There are also two veggies. So the number of different entrée selections is \[ 13+13\times 6+2=93. \]
- Number of Starter Selection

Starters could be soup or salad and we have a total number of \[9+3=12\] options.

- Number of Starch is \[5\]

- Number of add ons

There are 18 add ons and we would like to choose 2. It is simply the number of ways one can choose 2 objects from 18 objects (assuming that one does not choose two of the same add ons) is \[{18 \choose 2}=\frac{18!}{(18-2)!\times 2!}=\frac{18\times 17}{2}=9\times 17=153.\]

Therefore the total number different combinations of meals that can be created from Rudy's Steakhouse dinner menu is \[93\times 12 \times 5 \times 153=853740.\] Indeed if one orders a different combination every day it will take about \[\frac{853740}{365}=2339.01   \text{years}\] to try all possible combinations at Rudy's Steakhouse!