Final answer:
To determine the number of possible combinations for a single serving of frozen yogurt with one topping, multiply the number of yogurt flavors (7) by the number of toppings (10), resulting in 70 different combinations.
Step-by-step explanation:
The question asks us to calculate the number of possible choices for a single serving of frozen yogurt with one topping at a yogurt shop that offers 7 different flavors of frozen yogurt and 10 different toppings. To find the total number of combinations, we multiply the number of options for yogurt by the number of options for toppings. This is a basic combinatorics problem that can be solved by using the fundamental counting principle.
So, the number of combinations is 7 (flavors of yogurt) × 10 (toppings), which equals 70 different combinations.