This is my first puzzle so I hope everything is OK.
You are a principal of a small middle school. Koro and Irina are two teachers responsible for teaching a senior class which has 13 female and 15 male students.
Now, this class has a significant number of problematic students so you want to assign a teacher that could help them bond and build a socially better in-class environment. You ask both of them to join you in a meeting in order to decide who has more potential for the task. Below is your meeting chat.
You: So, about this class, do you guys know how many friend groups there are?
Koro: I am afraid not.
Irina: I am not entirely sure.
You: Oh, hmm, I wanted to compare them with a junior class I teach. Anyway, could you at least tell me the size of the largest friend group you remember?
Koro: Oh, I believe there is a group of 5 male delinquents, they seem to be pretty close.
Irina: I must disagree. I don't think that class has spent enough time together to have a friend group of that size.
You: That is actually what I wanted to discuss.
Koro: ... (Doesn't think the class is that poor socially so he is a little confused.)
Irina: (Realizes this) Okay, it was mainly the size I disagreed with, Koro, not the bondedness. I mean, take any 4 students, for example, I am sure 2 or 3 of them would be friends, but not even 4! Let alone a group of 5...
Koro: Even if what you said was true for some of the class, I still think you are mistaken about the delinquents, Irina. I always see them together!
Now, you find both of them a little inadequate for the issue, but you must pick one, so you decide to pick the one who isn't wrong for sure.
Who is handed the task?
- A friend group is a group of people who are all friends.
- Friendships are mutual.
- You might not use all the information to reach a conclusion.