Q2. (15 points, 5 for each part) A class in probability theory consists of 3 men and 4 women. An exam is given and the students are ranked according to their performance. Assuming that no two students obtain the same score,

(a) how many different rankings are possible?

(b) If all rankings are considered equally likely, what is the probability that women receive the top 4 scores?

(c) If all rankings are considered equally likely, what is the probability that women receive the top 2 scores?