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Seven women and seven menare to sit around a circular table such that there is a man on either side of every women, then the total no. of seating arrangements is (a) (7!) 2 (b) (6 !) 2 (c) 6! X 7 ! (d) 7!


Seven women and seven menare to sit around a circular table such that there is a  man on either side of every women, then the total no. of seating arrangements is


(a) (7!)      (b)  (6 !)        (c) 6! X 7 !              (d) 7! 


Grade:12

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
12 years ago

Dear Sanchit Gupta


there must be a man on either side of women

it is only possible when men and women sit in alternate way.

so 7 women can sit on circular tabel such that a vacant seat between them is (7-1)! way

and in these vacant seat 7 men can sit in 7! ways

so total ways is  = 6! *7!



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