question: If I have 3 items how many ways can I pick them?

answer 3! = 2x2x1 = 6

problem:

question: If I have 3 items how many ways can I arrange them on a circle?

answer 2! = 2x1 = 2

I guess this has something to do with placing that first item but I don't know why,

I still have 3 items to pick at the beginning?

Thanks for your help.