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 (1) $6 ! 7 !$ (2) $( 6 ! ) ^ { 2 }$ (3) $( 7 ! ) ^ { 2 }$ (4) $7 !$
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\\
(1) $6 ! 7 !$\\
(2) $( 6 ! ) ^ { 2 }$\\
(3) $( 7 ! ) ^ { 2 }$\\
(4) $7 !$