Suppose shirts are one of 3 colors (red, blue, and purple) and pants are black, brown, or white. An outfit consists of a shirt and pants. What is the minimum number of people that need to be in a room together to guarantee that at least two of them are wearing same-colored outfits

10 people

Step-by-step explanation:

Given:

Colors of shirts: 3 (red, blue, and purple)

Colors of pants: 3 (black, brown, or white)

Total number of outfits (both shirts and pants) =

3 * 3 = 9

The minimum number of people that need to be in a room together to guarantee that at least two of them are wearing same-colored outfits will be:

Total number + 1

= 9 + 1

= 10 people