Ans: D
For circular arrangements, the simple way is to fix the position/seat of anyone object/person & then try to calculate the possible arrangements for remaining objects/persons.
Begin with assuming that there are 14 chair around the table & obviously males/females will sit on alternate chairs.
Hence in this case fix the first position for a lady, & then remaining 6 ladies can be seated in only 6 alternating chairs, & can be seated in 6! ways.
For the remaining 7 men, we have 7 chairs, so possible arrangements are: 7!
Put together, all possible ways: 6!*7!.
Let me know if you have further questions.
Regards,
Bharat.