Faculty at a certain university need to create a committee to evaluate the general studies curriculum offered on campus. If there are 25 faculty members and they must select a chair, vice chair, secretary and 4 additional faculty members to be on the committee, in how many ways can the committee be formed?

There are 15 members on the board of directors for the Hospital. If they must elect a chairperson, a vice-chairperson, a secretary, and a 4-person ethics subcommittee, how many ways are there to do this?

There are 11 students in a kindergarten class. If each kindergartner can have only one task, in how many ways can the teacher assign out the following tasks: line leader, wipe down the tables, pass out papers, water the plants, erase the board?

A town is forming a committee to investigate ways to improve public safety in the town. The committee will consist of four representatives from the seven-member town council, three members of a five-person citizens advisory board, and three of the 11 police officers on the force. How many ways can that committee be formed? That committee can be formed in ways.

A cell phone company offers 19 different voice packages and 19 different data packages. Of those, 6 packages include both voice and data. How many ways are there to choose either voice or data, but not both?

A school club has 25 members and needs to elect four officers: a president, vice-president, secretary, and treasurer. How many ways can this be done?

The president of the college asked a fraternity to submit a list of 7 students to serve as guides at a school function. They have 19 students who are Available to help. In how many ways can the students be chosen?

Faculty at a certain university need to create a committee to evaluate the general studies curriculum offered on campus. If there are 34 faculty members and they must select a chair, vice chair, secretary and 5 additional faculty members to be on the committee, in how many ways can the committee be formed?

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?

Assume that there is a group of 13 students making presentations on 3 issues: parking fees, recreational sports facilities, and cafeteria quality. One student is selected to be primarily responsible for each issue. No one has responsibility for more than one issue. In how many ways can the issues be assigned?