# Finding number of seating arrangements

This is the question I got in Purdue University's Probability course available on YouTube:

I don't understand they wrote 24 possible outcomes . Outcomes are just 5: 5 people in 5 seats. Mathematically, 24 is the permutation than an outcome or it is total number of events. What I am not getting here ?

• Draw diagrams of possible seating arrangements. You should have no problem finding more than five such diagrams. If you're careful, you will find all 24 possibilities. – whuber Nov 7 at 14:46

Number of sitting configurations of $$n$$ people around a circular table is $$(n-1)!$$. The way to calculate this is to first have one arbitrary person seated and treat others, i.e. $$n-1$$ people, as if they are seated linearly.