Seven women and nine men are on the faculty in the mathematics department at a school. How many ways are there to select a committee of 6 members of the department with equal number of woman and men be on the committee

The class includes 15 male and 20 female students. We need to assign 5 students per group for senior design projects. How many ways are there to divide the class into 7 groups if each group has 5 students?

Pam is arranging her photos on the wall. There are 5 spaces on the wall to hang her photos. If she wants to hang 2 family photos out of 5 available, and 3 landscape photos out of 10 available, how many arrangements of photo could be hung?

An ice cream store stocks 30 different flavors and offers rainbow banana boat split that contains 3 scoops of ice cream each of a different flavor. On a banana boat they put one scoop of ice cream on the left one scoop in the middle and one scoop on the right of the banana boat. How many different rainbow splits can the store advertise?