Question

solve & discuss it!
cameron packed two pairs of shorts and three t-shirts for a weekend trip. what are some combinations of shirts and shorts that cameron can wear while on his trip? how many days will he have a different outfit to wear?
lesson sc-7
determine outcomes of compound event
i can...
find all possible outcomes of a compound event.
make sense and persevere how might an organized list help you solve the problem?

Explanation:

Step1: Label clothing items

Let shorts be $S_1$ (green), $S_2$ (black); T-shirts be $T_1$ (orange), $T_2$ (white), $T_3$ (red).

Step2: List all combinations

Pair each short with each shirt:
$S_1+T_1$, $S_1+T_2$, $S_1+T_3$, $S_2+T_1$, $S_2+T_2$, $S_2+T_3$

Step3: Count total combinations

Multiply number of shorts by shirts: $2 \times 3 = 6$

Answer:

Some outfit combinations: Green shorts + Orange T-shirt, Green shorts + White T-shirt, Green shorts + Red T-shirt, Black shorts + Orange T-shirt, Black shorts + White T-shirt, Black shorts + Red T-shirt
He will have 6 days of different outfits.