A science class has 12 students. There are four different experiments (Experiment A, B, C, D) and each experiment will be completed by a group of 3 students. Each student will be assigned to exactly one experiment. (a) In how many ways can the students be assigned to the experiments? (b) What is the probability that Rafe and Kael will both be assigned to Experiment A? (c) What is the probability that Rafe and Kael will be assigned to the same experiment