Corresponding to each of the four possible mayors, three are three vice-mayors. These two offices can be filled in 4•3=12 different ways. Also, corresponding to each of each of these 12 possibilities, we have six different choices for treasurer-giving 12•6=72 different possibilities. Finally, to each of these 72 possibilities there correspond two choices for secretary. In all, these offices can be filled in 4•3•6•2=144 different ways. A partial illusion is given by the tree diagram