Question

an ice cream shop sells ice cream sundaes with one type of cone, one ice cream flavor, one sauce, and one topping. based on the menu of options below, how many total possible combinations are there? the ice cream shop added more options to their menu, shown below. how many possible ice cream sundae combinations are there now with this updated menu? number of choices • type of cones : 8 • ice cream flavors : 8 • sauces : 6 • toppings : 4 there are possible ice cream sundae combinations.

Explanation:

Step1: Identify the multiplication principle

To find the total number of combinations, we use the multiplication principle for independent events. The number of ways to choose each component (cone, flavor, sauce, topping) is multiplied together.

Step2: Multiply the number of choices

The number of cone choices is 8, flavor is 8, sauce is 6, and topping is 4. So we calculate \( 8\times8\times6\times4 \).
First, \( 8\times8 = 64 \). Then, \( 64\times6 = 384 \). Finally, \( 384\times4 = 1536 \).

Answer:

1536