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Michelle is putting together a business outfit. There are $7$ pairs of pants and $2$ dress shirts to choose from. How many different outfits can Michelle put together? $\newline$ $\_\_\_\_$ outfits

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Counting principle

Full solution

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

7

pairs of pants and

2

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

\newline

\_\_\_\_

outfits

Apply Basic Counting Principle: Apply the Basic Counting Principle. We need to determine the total number of different outfits Michelle can put together. Since the choice of pants and the choice of dress shirts are independent events, we can multiply the number of choices for each item to find the total number of outcomes. $\newline$ Number of pants choices = $7$ $\newline$ Number of dress shirt choices = $2$ $\newline$ Calculate the total number of different outfits. $\newline$ $7$ (pants choices) $\times$ $2$ (dress shirt choices) = $14$

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