There is more than one way to think of this. I think that the best way to explain it is to begin with first principles. There are 4 distinct offices to be filled, and they are not interchangeable. Therefore *order matters*.

Consider beginning to select these officers one at a time, beginning with president. There are ** 25** people to choose from that could potentially be

**president**. Once that person has been selected, he/she cannot be selected for another office. So when it comes to selecting the

**vice-president**, any of the

**remaining people could be selected for that office. When VP has been decided, then there are**

*24***people left, from which we may choose a**

*23***secretary**. Once that is done, then there are

**left, from which to choose a**

*22***vice secretary**.

Each of these events are independent and happen together, so by the fundamental counting principle, we multiply each possible outcome ** 25 • 24 • 23 • 22 = 303,600**.