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 the four men occupy the four seats closest to the
Aisle?
A)24
B)576
C)16
D)40,320

Question

Quizplus · Accepted Answer

The four men can be arranged in the four seats closest to the aisle in 4! (4 factorial) ways, which equals 24. The four women can be arranged in the remaining four seats in 4! ways as well, also equaling 24. Therefore, the total number of arrangements is 24 * 24 = 576.

Four Married Couples Have Reserved Eight Seats in a Row