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Grade 12Algebra

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!

Profile image of Sanchit Gupta
16 Years agoGrade 12
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1 Answer

Profile image of Badiuddin askIITians.ismu Expert
16 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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