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You have 5 shirts, 3 pairs of pants, and 4 ties.
How many outfits are possible?

You have $5$ shirts, $3$ pairs of pants, and $4$ ties. $\newline$ How many outfits are possible?

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Compound events: find the number of outcomes

Full solution

Q. You have

5

shirts,

3

pairs of pants, and

4

ties.

\newline

How many outfits are possible?

Calculate product of choices: To determine the total number of outfits possible, we need to calculate the product of the number of choices for each item of clothing.
Choose shirt and pants: For each shirt, you can choose any pair of pants. Since there are $5$ shirts and $3$ pairs of pants, this gives us $5 \times 3 = 15$ combinations of shirts and pants.
Choose tie: Now, for each combination of shirt and pants, you can choose any tie. Since there are $4$ ties, this gives us $15$ (from the previous step) $\times 4 = 60$ combinations of shirts, pants, and ties.

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