Imagine we had 5 slots to fill. They are empty initially. Slot 1 has 5 choices to pick from Once we pick a letter, we have 4 choices left over for slot 2 Slot 3 will have 3 choices Slot 4 will have 2 choices Slot 5 will have 1 choice
We have this countdown: 5,4,3,2,1
which multiplies out to 5*4*3*2*1 = 120
There are 120 unique ways to arrange the letters. Order matters. Because order matters, this is a permutation.
