2. Nathan, Kelsey, Cindy, Brad, Amy, and Maggie want to play a game. This game

has three players per team. They wish for the teams to be randomly assigned. List

all possible samples (without replacement) of size 3.

(a) What is the chance of Nathan, Brad, and Amy being on the same team?

(b) What is the chance Kelsey, Cindy, and Amy being on the same team?

(c) What is the chance that any three players (Nathan, Kelsey, Cindy, Brad Amy, or Maggie) will be on the same team?