Q59 / 90 · JEE Main 2012 (26 May Online) · Mathematics

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

Correct answer
A
$6 ! 7 !$
B
$(6 !)^2$
C
$(7 !)^2$
D
7 !

Solution

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 $=7 ! \times 6 !$

Hence, the correct answer is option: 'A'.

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