Three husband-wife pairs are to be seated at a circular table that has six identical chairs. Seating arrangements are de...

Question

Three husband-wife pairs are to be seated at a circular table that has six identical chairs. Seating arrangements are defined only by the relative position of the people. How many seating arrangements are possible such that every husband sits next to his wife?

A. 16
B. 12
C. 120
D. 720

Accepted Answer

16 seating arrangements Six people (3 couples) sit at a round table where only relative positions matter. We need every husband to be adjacent to his own wife. The key technique is to treat each couple as a single block, find circular arrangements of those blocks, then account for the internal ordering within each couple.

Three husband-wife pairs are to be seated at a circular table that has six identical chairs. Seating arrangements are defined only by the relative position of the people. How many seating arrangements are possible such that every husband sits next to his wife? A. 16 B. 12 C. 120 D. 720