There are 12 slots to be filled in for the queue,now in the question in the first case, we are told that women require to stand up consecutively,so number of ways it can done is as follows
No of ways we choose 7 consecutive slots out of 12 slots= 6 ways
After that,we arrange the women in 7 ! ways,so men get arranged in 5 ! ways
That counts to 6x7!x 5! ( say it is n )
As per second case, we can choose 6 slots out of 12 slots in 7 ways, having chosen the slots,now let us choose 6 women from 7 women in 7C6 ways,and make them arrange in 6! ways,so remaining person are arranged in 6 ! ways
Total no of ways= 7 x( 7C6 x 6!) x 6! ( say it is m)
We are now required find m/n which is 7
Option B is right