The local ice cream stand offers three flavors of soft-serve ice cream: vanilla, chocolate, and strawberry: two types of cone: sugar and wafer: and three toppings: sprinkles, nuts, and cookie crumbs. If Dawn does not order vanilla ice cream, how many different choices can she make that have one flavor of ice cream, one type of cone, and one topping?

so she can pick from 2 flavours, 2 types of cones, and 3 kinds of toppings.

Number of different choices = 2x2x3 = 12

If Dawn does not order vanilla ice cream, then she has 2 choices for the flavor of ice cream (chocolate or strawberry), 2 choices for the type of cone (sugar or wafer), and 3 choices for the topping (sprinkles, nuts, or cookie crumbs).

To find the total number of different choices, we multiply the number of choices for each category:

2 choices for the flavor of ice cream × 2 choices for the type of cone × 3 choices for the topping = 12 different choices.

Therefore, Dawn can make 12 different choices that have one flavor of ice cream, one type of cone, and one topping if she does not order vanilla ice cream.

To solve this problem, we need to consider the available options for each component (flavor, cone type, and topping) and then calculate the number of possible combinations.

Here are the available options for each component:
- Flavors: chocolate and strawberry (since Dawn does not order vanilla)
- Cone types: sugar and wafer
- Toppings: sprinkles, nuts, and cookie crumbs

To calculate the number of choices Dawn can make, we need to multiply the number of options available for each component together.

Number of flavor choices: 2 (chocolate and strawberry)
Number of cone choices: 2 (sugar and wafer)
Number of topping choices: 3 (sprinkles, nuts, and cookie crumbs)

Therefore, the total number of different choices Dawn can make is:
2 (flavor choices) x 2 (cone choices) x 3 (topping choices) = 12

Therefore, Dawn can make 12 different choices that have one flavor of ice cream, one type of cone, and one topping.