To determine the total number of different types of tacos you can make at the Taco Bar, you can use the formula for combinations of independent choices.
You have:
- 3 options for the type of shell
- 4 options for the type of filling
- 6 options for toppings
The total number of different types of tacos can be calculated by multiplying the number of options for each category:
\[ \text{Total tacos} = (\text{number of shells}) \times (\text{number of fillings}) \times (\text{number of toppings}) \] \[ \text{Total tacos} = 3 \times 4 \times 6 \] \[ \text{Total tacos} = 12 \times 6 = 72 \]
So, the total number of different types of tacos you could make is 72.
The answer is 72.