It is required to seat 5 men and 4 women in a row so that the women occupy the even places. How many such arrangements are possible?

Question

Philoid · Accepted Answer

There are total 9 people

Women occupies even places that means they will be sitting on 2^nd , 4^th , 6^th and 8^th place where as men will be sitting on 1^st, 3^rd, 5^th,7^th and 9^th place.

4 women can sit in four places and ways they can be seated= ⁴P₄

5 men can occupy 5 seats in 5 ways

The numbers of ways in which these can be seated = ⁵P₅

The total numbers of sitting arrangements possible are

24 × 120 = 2880