Answer :
Final answer:
After assessing all combinations of ice cream flavors and toppings, a vanilla scoop with a chocolate chip is not possible, since every flavor must be paired with each topping exactly once and the chocolate chip must go with the single mango scoop. E) vanilla with a chocolate chip.
Explanation:
To solve this problem, we need to consider the possible combinations of ice cream flavors and toppings given the constraint that no two ice cream scoops are alike. We have 4 scoops of vanilla, 3 scoops of chocolate, 2 scoops of lemon, and 1 scoop of mango. There are 4 umbrellas, 3 cherries, 2 wafers, and 1 chocolate chip for toppings. Given these quantities, we should ensure every flavor of ice cream gets used with each type of topping exactly once to prevent identical combinations.
Let's assess each listed combination:
- A chocolate scoop with a cherry is possible since we have 3 chocolates and at least 3 cherries.
- A mango scoop with an umbrella is possible as we have only 1 mango and 4 umbrellas.
- A vanilla scoop with an umbrella is possible because we have more umbrellas than vanilla scoops.
- A lemon scoop with a wafer is possible since there are 2 lemons and 2 wafers.
Now, considering the last option:
- A vanilla scoop with a chocolate chip is not possible if we distribute the toppings across all flavors to maintain uniqueness because the chocolate chip will have to go with the mango scoop since it's the only flavor with a single scoop.
Therefore, the correct answer is E) vanilla with a chocolate chip.
