Question

It is required to seat 5 men and 3 women in a row so that the women occupy the even places. How many such arrangements are possible ?

Answer 1

Correct Answer - 7200
5 men can be arranged at 5 places in `""^(5)P_(5) =5! =120` ways.
Starting from man, we leave alternate places for women, as shown below.
`M square M square M square M square M square `
Now, 3 women can be arranged at these 5 places, marked `square`, in
` ""^(5)P_(3)=(5xx4xx3)=60` ways.
Required number of ways `=(120xx60)=7200.`