1. Of 25 members of a senior honors engineering society, 18 are men and 7 are women. The advisor chooses 4 of them to be on the executive committee. What is the probability that exactly 2 of the members of that committee will be women, if every student is just as likely to be chosen?
2. There are 15 engineering students in a certain lab. Count the total number of ways that 4 can receive As and 7 receive Bs