Permutations and Combinations

Name: Date: Math – Mr. Clemmons Period

1. Five people are lined up for tickets at a movie theater. How many different ways can they be lined up?

2. How many ways can you arrange the letters in YARD?

3. A restaurant offers the choice of 2 vegetables from a list of 9 vegetables for customers to have with dinner. How many different ways can the two vegetables be chosen?

4. History student were given 4 essays questions on their final exam from which they had to choose 2 to answer. How many combinations of essay questions could they have chosen?

5. There are 35 people in a singing competition. If there are 1st, 2nd, and 3rd place winners, how many ways could the judges select the top three singers?

6. In this year’s school election, 7 students are running for office. How many different election results are possible? (no ties)

President Vice-President Secretary Marriel Yoshi Jon Nick Dalton Lin Keisha

7. Several students are trying out for parts in the school play, Romeo and Juliet. Garry, Lee, and Brent are trying out for the part of Romeo. Mary, Lauren, and Jung-Min are trying out for the part of Juliet. How many Romeo and Juliet pairs are possible?

8. The Minisink Little League has the following teams: Atlas, Bass, Cleats, Denims, Egglands, and Funks. Each team can play the other teams once during the season. How many games are played?

9. Jen wanted to choose music to play at a party. She has a 5 disc CD player and 7 CD’s. How many ways can she arrange the CD’s in the player? (Order does not matter.)

10. The Smiths plan on painting the exterior of their home. The shingles will be one color, the trim will be a second color and the doors will be a third color. The exterior paint is available in the following colors: cherry, white, apricot, blush, crimson, wedgewood, eggshell, hunter, and ebony. How many different ways can they paint their house?