Solve the problem.
-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 all the women sit together and all the men sit
Together?
A)48
B)256
C)576
D)1152

Question

Quizplus · Accepted Answer

First, treat the group of women and the group of men as two separate "blocks." There are 2! ways to arrange these two blocks. Within each block, there are 4! ways to arrange the individuals. Therefore, the total number of arrangements is 2! * 4! * 4! = 1152.

Solve the Problem. -Four Married Couples Have Reserved Eight Seats in a Row