<p>Name: Date: Math – Mr. Clemmons Period </p><p>Permutations and Combinations</p><p>1. Five people are lined up for tickets at a movie theater. How many different ways can they be lined up? </p><p>2. How many ways can you arrange the letters in YARD?</p><p>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?</p><p>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?</p><p>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?</p><p>6. In this year’s school election, 7 students are running for office. How many different election results are possible? (no ties)</p><p>President Vice-President Secretary Marriel Yoshi Jon Nick Dalton Lin Keisha</p><p>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?</p><p>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?</p><p>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.)</p><p>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?</p>