A class of 6 seniors and 6 juniors is to be placed into 4 Zoom breakout rooms, each with 3 students. (a) (10 points) How many ways can this be done, if the rooms are not distinguishable? Answer: (b) (10 points) How many ways can this be done, if the rooms are not distinguishable and each room must have at least one senior?

Problem 1 (20 points) A class of 6 seniors and 6 juniors is to be placed into 4 Zoom breakout rooms, each with 3 students. (a) (10 points) How many ways can this be done, if the rooms are not distinguishable? Answer: (b) (10 points) How many ways can this be done, if the rooms are not distinguishable and each room must have at least one senior