It is required to seat 5 men and 3 women in a row so that the women oc – InterviewSolution

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1.	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» 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.`

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