Hat Bands

How many ways can be six pins arranged around a circular band of hat?

Can anyone solve this for me and show me how they go? I am totally lost

10 points for a better explanation!

there are 6 possibilities for the first position,
5 for the second,
4 for the third
3 for the fourth
2 for the fifth
and 1 for last.

Thus, the total number of possibilities is 6x5x4x3x2x1 or 6! (Six factorial),
equivalent to 720

5 x 6 x 4 x 3 x 2 x 1