Question

neil is selecting an outfit with one shirt, one pair of pants, and one pair of shoes. his choices are below. how many different outfit combinations are there in total? • shirt: striped, plaid • pants: jeans, khakis • shoes: red, blue to find all of the combinations of outfits, you can use a tree. start by recording neils choices for a shirt in the tree.

Explanation:

Step1: Identify number of choices per category

Shirts: 2 (striped, plaid), Pants: 2 (jeans, khakis), Shoes: 2 (red, blue).

Step2: Apply multiplication principle

Total combinations = Shirts × Pants × Shoes = \( 2 \times 2 \times 2 \).

Step3: Calculate the product

\( 2 \times 2 = 4 \), then \( 4 \times 2 = 8 \).

Answer:

8