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Carmen is putting together a business outfit. There are $2$ pairs of pants and $2$ dress shirts to choose from. How many different outfits can Carmen put together? $\newline$ $\_\_\_\_$ outfits

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Counting principle

Full solution

Q. Carmen is putting together a business outfit. There are

2

pairs of pants and

2

dress shirts to choose from. How many different outfits can Carmen put together?

\newline

\_\_\_\_

outfits

Apply Basic Counting Principle: Apply the Basic Counting Principle. We need to determine the number of different outfits Carmen can put together using $2$ pairs of pants and $2$ dress shirts. Since these choices are independent (choosing a pair of pants does not affect the choice of a dress shirt), we can multiply the number of choices for each item to find the total number of different outfits. $\newline$ Number of pants choices = $2$ $\newline$ Number of dress shirt choices = $2$ $\newline$ Total number of different outfits = Number of pants choices $\times$ Number of dress shirt choices
Perform Calculation: Perform the calculation based on the Basic Counting Principle. $2$ (pairs of pants) $\times$ $2$ (dress shirts) $=$ $4$ different outfits

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