To determine the total number of different sub sandwiches that can be made with the given options, you can multiply the number of choices for each component of the sandwich.
You have:
- 4 different kinds of bread
- 5 types of cheese
- 4 types of meat
- 6 vegetable toppings
- 9 types of sauce
The total number of different sandwich possibilities is calculated as follows:
\[ \text{Total possibilities} = (\text{number of breads}) \times (\text{number of cheeses}) \times (\text{number of meats}) \times (\text{number of vegetables}) \times (\text{number of sauces}) \]
Substituting in the numbers:
\[ \text{Total possibilities} = 4 \times 5 \times 4 \times 6 \times 9 \]
Calculating this step by step:
- \( 4 \times 5 = 20 \)
- \( 20 \times 4 = 80 \)
- \( 80 \times 6 = 480 \)
- \( 480 \times 9 = 4320 \)
Thus, the total number of different sub sandwich possibilities is \( \boxed{4320} \).