In this unit, you have seen the differences between combinations and permutations as well as how to calculate the results for each type of counting application. For example, say you would like to form a focus group on improving your software with individuals who took an initial survey. How many different three-person focus groups can be formed from the 20 people who originally took the survey? (Combination problem) If you want your three-person focus group to have one person serve as the spokesperson for the group, one person as the notetaker, and one person as the timekeeper, how many different focus groups can you form with these three positions, drawing from the total group of 20 people? (Permutation problem)
