Scribe

The document discusses circular permutations, which refers to the number of arrangements that can be made of n objects arranged in a circle. It provides the formula for calculating circular permutations as (n-1)!. It also discusses using the formula to calculate the number of ways to seat people or arrange beads around a circular table or bracelet. Some examples are worked out, such as seating 3 people which has 2 arrangements, or seating 4 people which has 6 arrangements. It also discusses applying the formula to problems involving seating married couples around a table, calculating the number of arrangements if spouses sit opposite each other as 6 or if men and women alternate as 144.