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Grade 12Algebra

'm' men and 'n' women are to be seated in a row such that no two women sit together.If m>n, the no. of ways in which they can be seated is?

The answer is given as m! m+1Pn.

Plz explain how?

Profile image of Chilukuri Sai Kartik
16 Years agoGrade 12
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1 Answer

Profile image of SAGAR SINGH - IIT DELHI
15 Years ago

Dear kartik,

m men can be arranged in m seats in m! ways. After the m men have been seated, we may get one seat in the beginning and one seat in the end and (m-1) seats in between each pair of men for the women.
Thus, the number of ways in which n women can be seated in

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Sagar Singh

B.Tech IIT Delhi