Problem of the Week
Problem A
Wardrobe Malfunction

Rashid has decided to make clothing decisions easy for himself in the morning. He has kept 3 shirts, 2 pairs of pants, and 2 pairs of socks. They are as follows:

Shirts: light blue shirt, dark blue shirt, and burgundy shirt

Pants: blue jeans, burgundy pants

Socks: blue socks, red socks

Note that Rashid always wears two socks that are the same colour.

1. How many possible different outfits could Rashid wear?

2. How many of the outfits from part A contain all blue items?

3. What fraction of the total possible outfits contain all blue items?

4. What fraction of the total possible outfits contain at least one burgundy item?