Aprofessor divides 2n students into n teams of 2 students. the teams are not distinguishable and are non-empty. the probability distribution over all possible arrangements of these teams is uniform. (a) let s be the sample space for this experiment. describe the elements of s. (b) express the probability distribution over this sample space as a function p : s → [0, 1]. (c) alice, bob, and charlie are three of the students in this professor’s class. what is the probability that no two of them are put in the same team?