Q

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?

Q.9.    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?

Views

It is required to seat 5 men and 4 women in a row so that the women occupy the even places.
The 5 men can be seated in $5!$ ways.

4 women can be seated at cross marked places (so that women occupy even places)

Therefore, women can be seated in $4!$ ways.

Thus, the possible arrangements $=5!\times 4!=120\times 24=2880$

Exams
Articles
Questions