Four married couples have reserved eight seats in a row at the theater, starting at an aisle seat. In how many ways can they arrange themselves if no couple is to be separated?
A)384
B)192
C)40,320
D)24

Question

Quizplus · Accepted Answer

Each couple can be treated as a single unit, so there are 4! ways to arrange the couples. Within each couple, there are 2! ways to arrange the individuals. Therefore, the total number of arrangements is 4! * (2!)^4 = 384.

Four Married Couples Have Reserved Eight Seats in a Row