A family clustered at a round table

MediumCombinatorics~4m

Seven distinct people sit around a round table (seatings that differ only by a rotation are considered the same). In how many seatings do three specific people (a family) sit in three consecutive seats?

Show hints (2)+
  1. Round table of mm units has (m−1)!(m-1)! arrangements; glue the family into one unit.
  2. (5−1)!⋅3!(5-1)!\cdot 3!.

Answer

Reveal answer →

144

Create a free account to see the full worked solution and track your progress.

Interview format: Trading Aptitude Tests, Prop Trading

Related questions