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Question: Answered & Verified by Expert
If seven women and seven men are to be seated around a circular table such that there is a man on either side of every woman, then the number of seating arrangements is
MathematicsPermutation CombinationJEE MainJEE Main 2012 (26 May Online)
Options:
  • A
    $6 ! 7 !$
  • B
    $(6 !)^2$
  • C
    $(7 !)^2$
  • D
    7 !
Solution:
2201 Upvotes Verified Answer
The correct answer is:
$6 ! 7 !$
7 women can be arranged around a circular table in 6 ! ways.
Among these 7 men can sit in 7 ! ways. Hence, number of seating arrangement $=7 ! \times 6 !$

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