Final answer:
To find the number of different sundaes you can order with one ice cream flavor and one topping, multiply the number of ice cream flavors by the number of toppings: 6 flavors × 3 toppings = 18 different sundaes.
Step-by-step explanation:
The question is asking to determine the number of different combinations one can make when ordering a sundae with one flavor of ice cream and one topping, given that there are six flavors of ice cream and three different toppings available. This type of problem is a fundamental counting principle problem in combinatorics, a branch of mathematics. To find the total number of combinations, we multiply the number of choices for ice cream by the number of choices for a topping.
There are six flavors of ice cream and three toppings. So, if you choose one flavor of ice cream and one topping, you multiply the number of ice cream flavors by the number of toppings:
Total combinations = (Number of ice cream flavors) × (Number of toppings)
Total combinations = 6 × 3 = 18 different sundaes.
Therefore, you can order 18 different variations of a sundae with one ice cream flavor and one topping at this ice cream shop.