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'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?

'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?

Grade:12

1 Answers

SAGAR SINGH - IIT DELHI
879 Points
10 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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