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Diego coordinates games for a youth soccer league. After Diego has figured out which teams are playing, there are still plenty of decisions to make. The league plays in $2$ parks, and each one has $3$ soccer fields. How many different ways can Diego organize a game? $\newline$ _____ ways

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Counting principle

Full solution

Q. Diego coordinates games for a youth soccer league. After Diego has figured out which teams are playing, there are still plenty of decisions to make. The league plays in

2

parks, and each one has

3

soccer fields. How many different ways can Diego organize a game?

\newline

_____ ways

Identify Choices: Identify the independent choices Diego has to make. Diego has to choose a park and a soccer field within that park.
Determine Options: Determine the number of choices for each independent event. Diego has $2$ park choices and $3$ soccer field choices within each park.
Apply Principle: Apply the Basic Counting Principle. Multiply the number of choices for each independent event to find the total number of outcomes. $\newline$ Number of park choices $\times$ Number of soccer field choices within each park. $\newline$ $2 \times 3 = 6$
Conclude Total: Conclude the total number of different ways Diego can organize a game. $\newline$ Diego can organize a game in $6$ different ways.

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