[Verified] The Menu At An Ice Cream Store Is Shown Below.

The Menu At An Ice Cream Store Is Shown Below.

SizeFlavourTopping
SmallVanillaDip
MediumChocolateSprinkles
LargeStrawberryCrunch Coat
Ice Cream Menu

How many different choices of one size, one flavour, and one topping can be made from the menu?
a. 3
b. 9
c. 18
d. 27

To determine the number of different choices that can be made from the menu, we can use the counting principle.

Concept Used: Counting Principle

The counting principle states that if one event can occur in �m ways and a second can occur independently of the first in �n ways, then the two events can occur in �×�m×n ways.

Step-by-Step Calculation:

  1. Determine the Number of Choices for Each Category
  • Size: There are 3 sizes (Small, Medium, Large) = 3 choices
  • Flavour: There are 3 flavours (Vanilla, Chocolate, Strawberry) = 3 choices
  • Topping: There are 3 toppings (Dip, Sprinkles, Crunch Coat) = 3 choices
  1. Calculate the Total Number of Combinations

Using the counting principle, the total number of combinations is: Total combinations=Number of sizes×Number of flavours×Number of toppingsTotal combinations=Number of sizes×Number of flavours×Number of toppings

Total combinations=3×3×3Total combinations=3×3×3

Let’s calculate the total number of combinations.

Using the counting principle: Total combinations=3×3×3=27Total combinations=3×3×3=27

Therefore, there are 27 different choices of one size, one flavour, and one topping that can be made from the menu.

Conclusion: The correct answer is: d. 27 different choices.

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