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?
how many different possible ice cream sundae combinations are there? solve on paper, then enter your answer on zearn.
number of choices

• type of cones : 3
• ice cream flavors : 4
• sauces : 2
• toppings : 2

there are \boxed{1} possible ice cream sundae combinations.

Explanation:

Step1: Identify the multiplication principle

To find the total number of combinations, we use the multiplication principle, which states that if there are \( n_1 \) ways to do one thing, \( n_2 \) ways to do a second thing, \( n_3 \) ways to do a third thing, and \( n_4 \) ways to do a fourth thing, then the total number of ways to do all four things together is \( n_1\times n_2\times n_3\times n_4 \).

Step2: Multiply the number of choices for each category

We have:

• Number of cone choices (\( n_1 \)): \( 3 \)
• Number of ice cream flavor choices (\( n_2 \)): \( 4 \)
• Number of sauce choices (\( n_3 \)): \( 2 \)
• Number of topping choices (\( n_4 \)): \( 2 \)

So the total number of combinations is \( 3\times4\times2\times2 \).

First, calculate \( 3\times4 = 12 \). Then, \( 12\times2 = 24 \). Finally, \( 24\times2 = 48 \).

Answer:

\( 48 \)