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Samir is making a fruit parfait. There are $3$ types of yogurt and $5$ types of fruit to choose from. How many different parfaits can Samir make using one of each ingredient? $\newline$ $\_\_\_\_\_$ parfaits

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Counting principle

Full solution

Q. Samir is making a fruit parfait. There are

3

types of yogurt and

5

types of fruit to choose from. How many different parfaits can Samir make using one of each ingredient?

\newline

\_\_\_\_\_

parfaits

Apply Basic Counting Principle: Apply the Basic Counting Principle. The Basic Counting Principle states that if there are $n$ ways to do one thing, and $m$ ways to do another, then there are $n \times m$ ways to do both. $\newline$ In this case, Samir has $3$ choices of yogurt and $5$ choices of fruit. $\newline$ Number of yogurt choices = $3$ $\newline$ Number of fruit choices = $5$ $\newline$ To find the total number of different parfaits Samir can make, we multiply the number of yogurt choices by the number of fruit choices.
Perform Multiplication: Perform the multiplication to find the total number of combinations. $\newline$ $3$ (types of yogurt) $*$ $5$ (types of fruit) $= 15$ $\newline$ So, Samir can make $15$ different parfaits using one of each ingredient.

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