State if each scenario involves a permutation or a combination Then find the number of possibilities 5 Castel and Joe are planning trips to three countries this year There are 7 countries they would like to visit One trip will be one week long another two days and the other two weeks 7 You are setting the combination on a three digit lock You want to use the numbers 123 but don t care what order they are in 9 A team of 17 softball players needs to choose three players to refill the water cooler 11 The student body of 10 students wants to elect a president vice president secretary and treasurer 13 There are 15 applicants for four jobs Computer Programmer Software Tester Manager and Systems Engineer 6 There are 110 people at a meeting They each shake hands with everyone else How many handshakes were there 8 A group of 25 people are going to run a race The top 8 finishers advance to the finals 10 5 out of 13 students will ride in a car instead of a van 12 Selecting which seven players will be in the batting order on a 11 person team 14 A group of 45 people are going to run a race The top three runners earn gold silver and bronze medals