118k views
1 vote
Three married couples go to a movie theater. if they sit together in a row of 6 empty seats, find the probability that each woman is to the left of her husband.

User Herolover
by
7.9k points

1 Answer

2 votes

Given are three married couples.

So, let us assume there are 3 men and 3 women

They are sitting in a row of 6 empty seats

There is a definite order constraint that each woman will sit left to her husband. The first woman gets 3 options to choose from 3 available seats. The second woman has two options left as already one seat is filled by the first woman. The last woman has one option left. So, it is
3*2*1

So, number of ways is 3! =
3*2*1 = 6 ways.

User Tturbo
by
7.2k points