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?

Answer 1

ABC, ACB, BCA, BAC, CAB, CBA

Answer 2

We have 3 students and 3 positions.

Angie (A), Bradley (B) and Carnell (C)

The total number of combinations can be calculated as:

For the president option we have 3 options:

For the vice president, we have 2 options because we already took one of the students for the president's place.

For the treasurer, we only have one option, so the number of combinations is:

3*2*1 = 6 we have 6 possible combinations; those are:

`\left[\begin{array}{ccc}pres&vice&treas\\A&B&C\\A&C&B\\B&A&C\\B&C&A\\C&A&B\\C&B&A\end{array}\right]`