Counting Foundations

Product Rule Outfits

Count outfits by multiplying independent choices. This is a small deterministic example, not solver engineering.

Example

Count outfits by multiplying independent choices.

highlighted = computed this step

Step 1 — Choices

Set up the exact small combinatorics values.

shirts, pants(3, 2)\begin{array}{c|c}\text{shirts, pants}&\text{(3, 2)}\end{array}

Step 2 — Multiply

Compute the highlighted combinatorics value.

shirts times pants6\begin{array}{c|c}\text{shirts times pants}&\hlmath{\text{6}}\end{array}
combinatorics-search Every row is intentionally ordered and pinned to the lesson specification.