There are 13 female board members and 17 male board members. How many ways are there to make a committee of 15 board members? How many ways are there to make a committee of 15 board members if exactly 5 must be female?

How many different committees can be formed from 9 teachers and 30 students if the committee consists of 3 teachers and 4 students? C In how many ways can the committee of 7 members be selected?

A club will be selecting a committee made up of 4 members. There are 12 eligible members to select from for the committee. In how many different ways can the committee be appointed?

How many different committees can be formed from 6 teachers and 46 students if In how many ways can the committee of 5 members be selected? the committee consists of 3 teachers and 2 students?

there are 18 people from the mathematics department and 325 people from the computer science department in a collegea. how many ways are there to get two representatives?so that one person is from the mathematics department and the other is from the computer science department?b. how many ways are there to get one elected representative, from a combination of the two majors?

A charity organization has 23 members. They need to choose a president, vice-president, and secretary and they need to choose a 3-person executive board. How many different ways can this be done?

How many committees could be formed from 10 students if: there must be 4 or 5 people on the committee? there are 6 people on the committee but John and Mandymust be selected?

A public health unit's "Board of Health" consists of 8 citizen representatives and 9 elected officials. We want to set up a special committee from the board members, consisting of 3 citizens and 4 elected officials. How many different ways can the board members by chosen for this committee?