Question

Three students, Angie, Bradley, and Carnell, are being selected for three student council offices: president, vice president, and treasurer. In each arrangement below, the first initial of each person’s name represents that person’s position, with president listed first, vice president second, and treasurer third. Which shows the possible outcomes for the event?

ABC
ABC, BAC, CBA
AAA, BBB, CCC
ABC, ACB, BCA, BAC, CAB, CBA

Answer 1

Each office must be held by a different person, so we need all permutations of A, B, C (3! = 6). The six possible outcomes are

ABC, ACB, BCA, BAC, CAB, CBA

(the last option).