A family of three is attending a wedding reception where all

A family of three is attending a wedding reception where all the tables are in the shape of a circle, with each table seating 8 people. How many ways can the family be seated at one table under the condition that all three of the family members must be seated next to each other?

Solution

There are totally 3 memberes and 8 seats

3 members can be arranged among themselves in 3! ways

There are 8 chairs and 3 selected in 8C3 ways

Hence total no of ways = 8C3 (3!)