Permutations and Combinations Identify and solve the following as Permutations, Combinations or Counting Principle problems. (you must show the set up) 1. A medical researcher needs 10 people to test the effectiveness of an experimental drug. If 20 people have volunteered for the test, in how many ways can 10 people be selected? 2. The ski club with 25 members is to choose three ofcers captain, co- captain & secretary, how many ways can those offices be lled? 3. For a segment of a radio show, a disc jockey (Dr. Jams) can play 5 songs. If there are 15 to select from, in how many ways can the program for this segment be arranged? 4. A fourperson committee is to be elected from an organization's membership of 20 people. How many different committees are possible? 5. You are on your way to Hawaii (Aloha) and of 12 possible books your parents say you can only take 6 books. How many different collections of 6 books can you take? 6. A corporation has 12 members on its board of directors. In how many ways can it elect a president, vice-president and secretary? 7. In a race in which 12 automobiles are entered and there are not ties, in how many ways can the first four nishers come in? 8. The model of the car you are thinking of buying is available in six different colors and three different styles (hatchback, sedan, or station wagon). In how many ways can you order the car? 9. From a club of 32 people, in how many ways can a group of five members be selected? 10. The company Sea Esta has 12 members on its board of directors. In how many different ways can it elect a president, vice-president, secretary and treasurer