If there are 13 possible project topics and 6 students must choose from the available topics, how many ways can the project topics be assigned?

A company wants to hire a software engineer, an administrative assistant, and a sales representative. There are 5 possible candidates for the position of software engineer, 2 for the position of administrative assistant, and 4 for the position of sales representative. How many ways are there to choose the three people who will be hired?

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?

A southeast regional salesman has eight destinations that he must travel to this month: Atlanta, Raleigh, Charleston, Nashville, Jacksonville, Richmond, Mobile, and Jackson. How many different possible routes could he take?

Provide complete solution

A class of 15 students needs to elect a class president, vice president, treasurer, and secretary. How many ways can this be done if each student can serve at most one position?

Each day, Mr. Ling has a boy and a girl summarize the assignment for the day. There are 7 boys and 8 girls in his group. In how many different ways can the teacher select the two students?

The Maple Leafs are allowed to dress 20 players for each game.  If they dress 12 forwards, 6 defensemen and 2 goalies, how many possible starting line-ups of 3 forwards, 2 defensemen and 1 goalie are possible?

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?

The call letters for radio stations begin with K or W, followed by 3 additional letters. How many sets of call letters having 4 letters are possible?