Discrete Math Flashcards - Combinatorics

Permutations

Combinations

The student body of 50 students wants to elect two representatives.

A group of 14 people need to take an elevator to the top floor. They will go in groups of seven. They are deciding who will take the elevator on its second trip.

Molly has homework in four subjects. She is deciding what order to complete them in.

Sumalee and Imani are planning trips to three countries this year. There are 11 countries they would like to visit. One trip will be one week long, another two days, and the other two weeks.

4 out of 20 students will ride in a car instead of a van.

100 people bought raffle tickets to enter a random drawing for three prizes. How many ways can three names be drawn for first prize, second prize, and third prize?

A group of 40 people are going to run a race. The top 6 finishers advance to the finals.

You are setting the combination on a five-digit lock. You want to use the numbers 10962 but don’t care what order they are in.

Lock

ra

Exempt

A coach must choose how to line up his five starters from a team of 12 players. How many different ways can the coach choose the starters?

There are 40 applicants for four jobs: Computer Programmer, Software Tester, Manager, and Systems Engineer.

A team of 15 field hockey players needs to choose a captain and co-captain.

There are 35 applicants for two jobs: computer programmer and software tester.

A group of 45 people are going to run a race. The top 8 finishers advance to the finals.