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Sandra is ordering a birthday cake for a friend. There are $2$ cake flavors and $2$ frosting flavors to choose from. How many different cakes can Sandra order? $\newline$ $\_\_\_\_$ cakes

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Counting principle

Full solution

Q. Sandra is ordering a birthday cake for a friend. There are

2

cake flavors and

2

frosting flavors to choose from. How many different cakes can Sandra order?

\newline

\_\_\_\_

cakes

Apply Basic Counting Principle: Apply the Basic Counting Principle. We need to determine the total number of different cakes Sandra can order by multiplying the number of choices for each independent event (cake flavor and frosting flavor). $\newline$ Number of cake flavor choices = $2$ $\newline$ Number of frosting flavor choices = $2$ $\newline$ Total number of different cakes = Number of cake flavor choices $\times$ Number of frosting flavor choices
Perform Calculation: Perform the calculation using the numbers identified in Step $1$ . $\newline$ $2$ (cake flavors) $*$ $2$ (frosting flavors) $=$ $4$ different cakes

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