Question

Rob has 4 shirts, 3 pairs of pants, and 2 pairs of shoes that all coordinate. How manyoutfits can you put together?Would the answer be 24? Just need clarification

Answer 1

Given that Rob has 4 shirts, 3 pairs of pants, and 2 pair of shoes.

Rob has 4 shirts, he can wear each with 3 different pairs of pants.

Thus,

$\begin{gathered} 4\text{ }\times3 \\ =12 \end{gathered}$

Each of the combinations can be worn with 2 different pairs of shoes. Thus,

$\begin{gathered} 12\times2 \\ =24 \end{gathered}$

This implies that Rob can put his outfit together in 24 ways.