find the number of ways in which 3 couples can sit in such a way that no husbands sits next to his wife?1)64 2)48 3)32 4)24

The three wives can be seated in 3! ways. From this, you can rule out two option choices as the final answer has to be a multiple of 3! i.e. 6.
There will be 4 places which will be created by seating the 3 women.
__ a__b__c__d
Now four people can occupy the given seats in 8 ways(when mentioned restrictions are followed).
So required number of ways are 6*4 = 24