A. How many different rankings are possible?
B. If all the rankings are considered equally likely, then what is the probability that women receive the top 4 scores?
C. If all the rankings are considered equally likely, then what is the probability that women receive the top 3 scores?
2. A committee of 5 is to be selected from a group of 6 men and 9 women.
A. If the selection is made at random, what is the probability that all men are selected?
B. If the selection is made at random, what is the probability that the committee consists of 3 men and 2 women?